7th Grade PACE Math
Essential Units of Study
Year at a Glance
Essential Unit of Study
Problem Solving
Rational Numbers
Algebraic Reasoning
Proportionality: Rates and Percents
Proportionality: Similarity
Geometry and Spatial Reasoning
Measurement
Probability
Data Analysis
TAKS Review and Test
Post TAKS
Testing Windows
Assessment I
Authentic Assessment
Assessment II
TAKS Test
Assessment III
Administration
November 26 - 30
February 7 & 8
February 25 - 29
April 28 - May 2
May 19 - 30
Scantrons Due
December 3
March 17
March 3
June 2
6/2/08
5/26/08
5/19/08
5/12/08
5/5/08
4/28/08
4/21/08
4/14/08
6th Six Weeks
4/7/08
3/31/08
3/24/08
3/17/08
3/10/08
3/3/08
2/25/08
5th Six Weeks
2/18/08
2/11/08
2/4/08
1/28/08
1/21/08
1/14/08
1/7/08
12/31/07
4th Six Weeks
12/24/07
12/17/07
12/10/07
12/3/07
11/26/07
11/19/07
11/12/07
3rd Six Weeks
11/5/07
10/29/07
10/22/07
10/15/07
10/8/07
10/1/07
2nd Six Weeks
9/24/07
9/17/07
9/10/07
9/3/07
Week of…
8/27/07
1st Six Weeks
Rational Numbers Quick Planner
Suggested Timing: 3 - 4 Weeks
Common Performance Assessment: Pizza Shack, Size Wise
Focus TEKS
Students
Students will know…
will …
TEKS: (8.1) Number, operation, and
quantitative reasoning: The student
understands that different forms of
numbers are appropriate for different
situations.The student is expected to:
(A) compare and order rational
numbers in various forms including
integers, percents, and positive and
negative fractions and decimals
(B) select and use appropriate forms
of rational numbers to solve real-life
problems including those involving
proportional relationships
(Proportional relationships will be
covered more thoroughly in the
Proportionality Unit of Study)
(D) express numbers in scientific
notation, including negative
exponents, in appropriate problem
situations
(8.2) Number, operation, and
quantitative reasoning. The student
selects and uses appropriate
operations to solve problems and
justify solutions. The student is
expected to:
(A) select appropriate operations to
solve problems involving rational
numbers and justify the selections
(B) use appropriate operations to
solve problems involving rational
numbers in problem situations
(C) evaluate a solution for
reasonableness
1. Compare and order rational numbers with and without a number
line
Textbook
tx.msmath3.com
TXT: 2-1, 2-2
Vocabulary related to rational numbers
Common FDP equivalences (Including but not limited to denominators
of 2,3,4,5,10,100)
Convert fractions, decimals and percents
Fractions, decimals and percents can be used interchangeably
That rational numbers include positive and negative fractions and
decimals, integers and percents
2. Apply operations of rational numbers in problem situations (tax,
tip, discount, commission)
Vocabulary related to rational numbers
Fractions, decimals and percents can be used interchangeably
How to use operations with rational numbers (reinforce- 6th and 7th
grade TEKS)(
TXT: 1-3, 1-4, 1-5,
1-6, 2-3, 2-4, 2-5,
2-6, 2-7
MSC: p. 192-193
That rational numbers include positive and negative fractions and
decimals, integers and percents
3. Express numbers in scientific notation and standard form
Vocabulary related to rational numbers
The affect of positive and negative exponents when using scientific
notation
TXT: 2-9, 2-10
MSC: 296, 300-301
How to make connections between powers of ten and corresponding
place value
4. Convert between scientific notation and standard form
Vocabulary related to rational numbers
The affect of positive and negative exponents when using scientific
notation
TXT: 2-9, 2-10
MSC: 296, 300-301
How to make connections between powers of ten and corresponding
place value
5. Choose and/or create correct expression/equation for a problem
situation
TXT: 1-7, 2-7
Vocabulary related to rational numbers
Key words that signal different operations
Order of operations applied to problem situations
6. Formulate equations with appropriate order of operations
TXT: 1-7, 2-7
Vocabulary related to rational numbers
Order of operations applied to problem situations
Key words that signal different operations
Commonly used problem solving strategies
7th grade PACE
2007-2008
Rational Numbers Quick Planner
Suggested Timing: 3 - 4 Weeks
Common Performance Assessment: Pizza Shack, Size Wise
Focus TEKS
Students
Students will know…
will …
7. Solve multi-step problems
Textbook
tx.msmath3.com
TXT: 10-2, 10-3
Vocabulary related to rational numbers
Order of operations applied to problem situations
Key words that signal different operations
Commonly used problem solving strategies
8. Analyze a solution in context of the problem to determine
reasonableness
TXT: 5-5 PSI
Vocabulary related to rational numbers
Commonly used problem solving strategies
9. Describe the problem solving process used to justify the solution
Vocabulary related to rational numbers
Commonly used problem solving strategies
7th grade PACE
TXT: 1-1, 5-5 PSI
MSC: p. 50-89
2007-2008
Algebraic Reasoning Quick Planner
Suggested Timing: 3 - 4 Weeks
Common Performance Assessment: Candy Bars
Focus TEKS
TEKS: (8.4) Patterns, relationships,
and algebraic thinking. The student
makes connections among various
representations of a numerical
relationship.
generate a different representation of
data given another representation of
data (such as a table, graph,
equation, or verbal description.)
(8.5) Patterns, relationships, and
algebraic thinking. The student uses
graphs, tables, and algebraic
representations to make predictions
and solve problems.
(A) predict, find, and justify solutions
to application problems using
appropriate tables, graphs, and
algebraic equations
(B) find and evaluate an algebraic
expression to determine any term in
an arithmetic sequence (with a
constant rate of change)
(8.7) Geometry and spatial reasoning.
The student uses geometry to model
and describe the physical world. The
student is expected to:
(D) locate and name points on a
coordinate plane using ordered pairs
of rational numbers.
Textbook
Students
Students will need to know…
will…
tx.msmath3.com
1. Graph rational numbers in all four quadrants (include fraction and decimal TXT: 3-7
values)
Vocabulary related to algebraic reasoning
How to graph on a coordinate plane
How to determine reasonable range of x and y values to create an
appropriate graph for a situation
The relationship between the quantities in a problem situation
2. Write an expression (function rule) for the nth term in an arithmetic
sequence (constant rate)
Vocabulary related to algebraic reasoning
How to graph on a coordinate plane
How to determine reasonable range of x and y values to create an
appropriate graph for a situation
The relationship between the quantities in a problem situation
3. Evaluate an expression given any term to determine the term value in a
sequence
Vocabulary related to algebraic reasoning
How to graph on a coordinate plane
How to determine reasonable range of x and y values to create an
appropriate graph for a situation
The relationship between the quantities in a problem situation
4. Write an equation from a verbal description, table, and a graph
Vocabulary related to algebraic reasoning
That an arithmetic sequence has a constant rate of change
The difference between a variable and a constant
The nth term value is determined by its position in the sequence
How to evaluate an expression by substituting values
5. Generate a table from a verbal description, an equation and a graph
Vocabulary related to algebraic reasoning
That an arithmetic sequence has a constant rate of change
The difference between a variable and a constant
The nth term value is determined by its position in the sequence
TXT: 10-4
MSC: 138-165
TXT: 10-4
MSC: 138-165
TXT: 1-2, 1-7, 10-3, 111, 11-2
MSC: p. 182-185, 272,
274-275
TXT: 1-2, 10-3, 11-1,
11-2
MSC: p. 182-185, 272,
274-275
How to evaluate an expression by substituting values
6. Create a graph from a verbal description, an equation and a table
Vocabulary related to algebraic reasoning
That an arithmetic sequence has a constant rate of change
The difference between a variable and a constant
The nth term value is determined by its position in the sequence
How to evaluate an expression by substituting values
TXT: 1-2, 10-3, 11-1,
11-2
MSC: p. 182-185, 272,
274-275
How to express a situation using verbal, algebraic, tabular, and
graphical representations
How to find and express solutions using the four corner model
7th grade PACE
2007-2008
Algebraic Reasoning Quick Planner
Suggested Timing: 3 - 4 Weeks
Common Performance Assessment: Candy Bars
Focus TEKS
Students
Students will need to know…
will…
7. Write a verbal description from a table, an equation and a graph
Vocabulary related to algebraic reasoning
Ordered pairs that make a true statement when substituted are
solutions to the equation
Textbook
tx.msmath3.com
TXT: 1-2, 10-3, 11-1,
11-2
MSC: p. 182-185, 272,
274-275
How to express a situation using verbal, algebraic, tabular, and
graphical representations
How to find and express solutions using the four corner model
8. Make connections between different representations
Vocabulary related to algebraic reasoning
Ordered pairs that make a true statement when substituted are
solutions to the equation
TXT: 1-2, 10-3, 11-1,
11-2
MSC: p. 182-185, 272,
274-275
How to express a situation using verbal, algebraic, tabular, and
graphical representations
How to find and express solutions using the four corner model
9. Use one- and two-step equations to solve problems
Vocabulary related to algebraic reasoning
How to express a situation using verbal, algebraic, tabular, and
graphical representations
TXT: 1-7, 1-8, 1-9, 110, 2-7, 10-2, 10-3,
Explore 10-5, 10-5
MSC: 204-209
How to find and express solutions using the four corner model
10. Title x and y axes appropriately for different situations
TXT: 3-7
Vocabulary related to algebraic reasoning
Ordered pairs that make a true statement when substituted are
solutions to the equation
How to express a situation using verbal, algebraic, tabular, and
graphical representations
How to find and express solutions using the four corner model
11. Use appropriate scale and intervals
Vocabulary related to algebraic reasoning
How to undo the order of operations to solve equations
7th grade PACE
2007-2008
Proportionality: Rates and Percents Quick Planner
Suggested Timing: 3-4 Weeks
Common Performance Assessment: Java Joe, Global Warming
Focus TEKS
TEKS:
(8.1) Number, operation, and
quantitative reasoning. The
student understands that different
forms of numbers are appropriate
for different situations..
(B) select and use appropriate
forms of rational numbers to
solve real-life problems including
those involving proportional
relationships
(8.2) Patterns, relationships, and
algebraic thinking. The student
selects and uses appropriate
operations to solve problems and
justify solutions. The student is
expected to:
(D) use multiplication by a
constant factor (unit rate) to
represent proportional
relationships
(8.3) Patterns, relationships, and
algebraic thinking. The student
identifies proportional and nonproportional linear relationships in
problem situations and solves
problems.
(A) compare and contrast
proportional and non-proportional
linear relationships
(B) estimate and find solutions to
application problems involving
percents and other proportional
relationships such as similarity
and rates
Textbook
Students
Students will need to know…
will…
tx.msmath3.com
1. Recognize, compare and contrast proportionality from different
TXT: 4-1
representations: tables, graphs, equations and real world examples (verbal)
MSC: p. 50-57, 74
Vocabulary related to proportionality
What makes a relationship proportional
2. Compare and contrast proportional and non-proportional linear
relationships given different representations
TXT: 4-2
Vocabulary related to proportionality
What makes a relationship proportional
3. Use multiplication by a constant factor (unit rate) to represent
Vocabulary related to proportionality
How and when to use unit rates and commonly used rates such as
mph, mpg, cost per unit, psi etc.
How to determine corresponding quantities and units in proportional
situations
TXT: 4-1, 4-3
MSC: p. 50-57, 74,
244-245
Fraction, decimal and percent equivalencies
All operations with fractions, decimals and percents
Ratios compare like units of measure and rates compare different units
Different forms of rational numbers can be used for different situations
How to move easily between different forms of rational numbers
That proportions can be used to find unknown quantities
4. Estimate solutions to application problems involving percents and other TXT: 5-4, 5-6
proportional relationships such as rates
Vocabulary related to proportionality
How and when to use unit rates and commonly used rates such as
mph, mpg, cost per unit, psi etc.
How to determine corresponding quantities and units in proportional
situations
Fraction, decimal and percent equivalencies
All operations with fractions, decimals and percents
Ratios compare like units of measure and rates compare different units
Different forms of rational numbers can be used for different situations
How to move easily between different forms of rational numbers
That proportions can be used to find unknown quantities
How to recognize whether a solution is reasonable based on the
relationship of the known quantities
Benchmark fractions, compatible numbers, and other estimation
strategies
7th Grade PACE
2007-2008
Proportionality: Rates and Percents Quick Planner
Suggested Timing: 3-4 Weeks
Common Performance Assessment: Java Joe, Global Warming
Focus TEKS
Students
Students will need to know…
will…
5. Set-up and solve application problems involving percents and other
proportional relationships including ratios and rates
Vocabulary related to proportionality
How to determine corresponding quantities and units in proportional
situations
Fraction, decimal and percent equivalencies
All operations with fractions, decimals and percents
Textbook
tx.msmath3.com
TXT: 5-1, 5-3, 5-7, 58, 5-9
MSC: p. 246-247
Ratios compare like units of measure and rates compare different units
Different forms of rational numbers can be used for different situations
How to move easily between different forms of rational numbers
That proportions can be used to find unknown quantities
Unit conversions both standard and metric
6. Select and use appropriate forms of rational numbers to solve real-life
problems including those involving proportional relationships
Vocabulary related to proportionality
TXT: 5-2
MSC: 250-251
How to determine corresponding quantities and units in proportional
situations
Fraction, decimal and percent equivalencies
All operations with fractions, decimals and percents
Ratios compare like units of measure and rates compare different units
Different forms of rational numbers can be used for different situations
How to move easily between different forms of rational numbers
That proportions can be used to find unknown quantities
Unit conversions both standard and metric
7. Use proportions to make predictions
Vocabulary related to proportionality
TXT: 5-7, 5-8, 5-9
How to determine corresponding quantities and units in proportional
situations
Fraction, decimal and percent equivalencies
All operations with fractions, decimals and percents
Ratios compare like units of measure and rates compare different units
Different forms of rational numbers can be used for different situations
How to move easily between different forms of rational numbers
That proportions can be used to find unknown quantities
Unit conversions both standard and metric
7th Grade PACE
2007-2008
Proportionality: Similarity Quick Planner
Suggested Timing: 2-3 Weeks
Common Performance Assessment:
Focus TEKS
TEKS: (8.3) Patterns, relationships,
and algebraic thinking. The student
identifies proportional and nonproportional linear relationships in
problem situations and solves
problems. The student is expected to:
(B) estimate and find solutions to
application problems involving
percents and other proportional
relationships such as similarity and
rates
(8.6) Geometry and spatial
reasoning. The student uses
transformational geometry to develop
spatial sense.
(A) generate similar figures using
dilations including enlargements and
reductions
(B) graph dilations, reflections, and
translations on a coordinate plane.
(8.7) Geometry and spatial
reasoning. The student uses
geometry to model and describe the
physical world. The student is
expected to:
(B) use geometric concepts and
properties to solve problems in fields
such as art and architecture;
(8.9) Measurement. The student uses
indirect measurement to solve
problems.
(B) use proportional relationships in
similar two-dimensional figures or
similar three-dimensional figures to
find missing measurements
(similar three dimensional figures will
be covered in the Measurement
Unit of Study)
Students
will…
Students will need to know…
1. Label figures with correct corresponding parts given a verbal description
Textbook
tx.msmath3.com
TXT: 4-5
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
Prime notation can be used to identify corresponding parts of similar
figures
2. Find the corresponding parts of figures given a similarity statement
and/or a drawing
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
TXT: 4-5
Prime notation can be used to identify corresponding parts of similar
figures
3. Estimate solutions to application problems involving similar figures
TXT: 4-5
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
Prime notation can be used to identify corresponding parts of similar
figures
4. Set-up proportions based on corresponding parts to solve application
problems involving similar figures
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
TXT: 4-5
Prime notation can be used to identify corresponding parts of similar
figures
5. Determine scale factor given two similar figures by calculating the ratio
between the corresponding new and original parts
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
TXT: 4-5
The connection between scale factors in fraction, decimal and percent
form
Prime notation can be used to identify corresponding parts of similar
figures
6. Use indirect measurement to solve for unknown quantities (scale factor
and/or proportions)
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
TXT: 4-8
MSC: p. 231
The connection between scale factors in fraction, decimal and percent
form
Prime notation can be used to identify corresponding parts of similar
figures
How to recognize situations that require using indirect measurement
7th Grade PACE
2007-2008
Proportionality: Similarity Quick Planner
Suggested Timing: 2-3 Weeks
Common Performance Assessment:
Focus TEKS
Students
will…
Students will need to know…
7. Use the coordinate plane to create dilations (enlargements and
reductions)
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
Textbook
tx.msmath3.com
TXT: 4-6,
Exend 4-6
Dilations include both enlargements and reductions
Dilations create similar figures
Prime notation can be used to identify corresponding parts of similar
figures
Scale factors greater than one create enlargements and between zero
and one create reductions
How to graph figures on the coordinate plane using all four quadrants
8. Use multiplication by a scale factor to create dilations (enlargements and
reductions)
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
TXT: 4-6,
Exend 4-6
Dilations include both enlargements and reductions
Dilations create similar figures
Prime notation can be used to identify corresponding parts of similar
figures
Scale factors greater than one create enlargements and between zero
and one create reductions
9. Create a second set of coordinates given a scale factor and an original
TXT: 4-6,
figure
Exend 4-6
Vocabulary related to proportionality and similarity
How to recognize corresponding parts of similar figures
The characteristics of similar figures: corresponding parts are
proportional and corresponding angles are congruent
Dilations include both enlargements and reductions
Dilations create similar figures
Prime notation can be used to identify corresponding parts of similar
figures
Scale factors greater than one create enlargements and between zero
and one create reductions
How to graph figures on the coordinate plane using all four quadrants
7th Grade PACE
2007-2008
Geometry and Spatial Reasoning Quick Planner
Suggested Timing: 2-3 Weeks
Common Performance Assessment:
Focus TEKS
Students Students will need to know…
will…
TEKS:
1. Graph reflections and translations on a coordinate grid
(8.1) Number, operation, and quantitative
Vocabulary related to geometry and spatial reasoning
reasoning. The student understands that
How to graph rational numbers on a coordinate plane
different forms of numbers are appropriate
for different situations.
The student is expected to:
(C) approximate (mentally and with
calculators) the value of irrational
numbers as they arise from problem
situations (such as pi, square root of 2);
(8.9) Measurement. The student uses
indirect measurement to solve problems.
The student is expected to:
(A) use the Pythagorean Theorem to
solve real-life problems
(8.6) Geometry and spatial reasoning.
The student uses transformational
geometry to develop spatial sense. The
student is expected to:
(A) generate similar figures using dilations
including enlargements and
reductions;(put with supporting TEKS)
(B) graph dilations, reflections, and
translations on a coordinate plane
(8.7) Geometry and spatial reasoning.
The student uses geometry to model and
describe the physical world. The student
is expected to:
(C) use pictures or models to
demonstrate the Pythagorean Theorem;
(A) draw three-dimensional figures
from different perspectives;
(B) use geometric concepts and
properties to solve problems in fields
such as art and architecture;
2. Generate coordinates for a reflection and/or translation
given the original coordinates
Vocabulary related to geometry and spatial reasoning
Which axis the object reflects over and which coordinate will be
affected (Over X changes the value of the y and over Y changes the
value of the x)
Textbook
tx.msmath3.com
TXT: 6-6
6-7
TXT: 6-6
6-7
That positive and negative numbers are opposite each other on the
number line and equal distance from zero
How to add and subtract with rational numbers
The direction of the shift in a translation indicates whether to add a
positive or negative value to the original coordinates
3. Generate the original coordinates given the coordinates of a TXT: 6-6
6-7
reflection and/or translation
Vocabulary related to geometry and spatial reasoning
Which axis the object reflects over and which coordinate will be
affected (Over X changes the value of the y and over Y changes the
value of the x)
That positive and negative numbers are opposite each other on the
number line and equal distance from zero
The direction of the shift in a translation indicates whether to add a
positive or negative value to the original coordinates
4. Memorize the perfect squares and their roots to at least 15
TXT: 3-1, 3-2
Vocabulary related to geometry and spatial reasoning
That the length of the side of a square is equal to the square root of the
area of the square
5. Estimate (with and without technology) irrational numbers
(including but not limited to square roots and pi)
TXT: 3-1, 3-2, 3-4
Vocabulary related to geometry and spatial reasoning
That the roots of non-perfect squares are irrational numbers (sides of
squares that are not whole numbers)
That the roots of non-perfect squares fall between the roots of two
perfect squares
That the length of the side of a square is equal to the square root of the
area of the square
7th Grade PACE
2007-2008
Geometry and Spatial Reasoning Quick Planner
Suggested Timing: 2-3 Weeks
Common Performance Assessment:
Focus TEKS
Students Students will need to know…
will…
6. Locate and/or place irrational numbers on a number line
Textbook
tx.msmath3.com
TXT: 3-4
Vocabulary related to geometry and spatial reasoning
That the length of the side of a square is equal to the square root of the
area of the square
How to use manipulatives (grid paper, tangrams etc) to demonstrate
the Pythagorean theorem
7. Model and recognize models of Pythagorean theorem
TXT:
Vocabulary related to geometry and spatial reasoning
Explore 3-5, 3-5
Common Pythagorean triples and how to generate their families
MSC: p. 236-237
The characteristics of right triangles (the length of any side is less than
the sum and greater than the difference of the other two sides etc.)
To draw a diagram when solving Pythagorean theorem problems
8. Use Pythagorean theorem to solve real-life problems
Vocabulary related to geometry and spatial reasoning
The characteristics of right triangles (the length of any side is less than
the sum and greater than the difference of the other two sides etc.)
TXT: 3-5, 3-6
MSC: p. 236-239
How to recognize Pythagorean theorem situations
How to use isometric dot paper to draw three dimensional figures
9. Draw three-dimensional figures from different perspectives
Vocabulary related to geometry and spatial reasoning
How to use isometric dot paper to draw three dimensional figures
10. Match drawings of different perspectives to the
three dimensional figure they represent
TXT:
Explore 7-4, 7-4
MSC: p. 96-97
TXT: 7-4
MSC: p.96-97
Vocabulary related to geometry and spatial reasoning
7th Grade PACE
2007-2008
Measurement Quick Planner
Suggested Timing: 4 - 5 Weeks
Common Performance Assessment: Container Confusion
Focus TEKS
Students
Students will need to know…
will…
1.
Use
models
and nets to find lateral and total surface area
TEKS:
(8.8) Measurement. The student uses
Vocabulary related to measurement
procedures to determine measures of
How to use measuring tools (including rulers both metric and standard,
solids. The student is expected to:
measuring tapes, meter/yard stick)
(A) find lateral and total surface area
That a net is a two dimensional representation of a three dimensional
of prisms, pyramids, and cylinders
figure
using concrete models and nets (two2. Calculate lateral and total surface area of Prisms, pyramids and cylinders
dimensional models);
Vocabulary related to measurement
(B) connect models of prisms,
cylinders, pyramids, spheres, and
How to use measuring tools (including rulers both metric and standard,
cones to formulas for volume of these
measuring tapes, meter/yard stick)
objects;
Appropriate units to use when measuring length, area and volume
(C) estimate measurements and use
That a net is a two dimensional representation of a three dimensional
formulas to solve application
figure
problems involving lateral and total
The variables and what they represent for all formulas
surface area and volume
How to identify 3D figures, Base(s), and their height
(8.9) Measurement. The student uses
How to calculate the area of related polygons and circles
indirect measurement to solve
problems. The student is expected to: 3. Connect models of prisms, cylinders, pyramids, spheres, and cones to
(B) use proportional relationships in formulas for volume of these objects
similar two-dimensional figures or
Vocabulary related to measurement
similar three-dimensional figures to
How to use measuring tools (including rulers both metric and standard,
find missing measurements.
measuring tapes, meter/yard stick)
(8.10) Measurement. The student
Appropriate units to use when measuring length, area and volume
describes how changes in
The variables and what they represent for all formulas
dimensions affect linear, area, and
How to identify 3D figures, Base(s), and their height
volume measures. The student is
How to calculate the area of related polygons and circles
expected to:
(A) describe the resulting effects on 4. Estimate the volume of prisms, cylinders, pyramids, spheres, and cones
perimeter and area when dimensions
Vocabulary related to measurement
of a shape are changed
How to use measuring tools (including rulers both metric and standard,
proportionally;
measuring tapes, meter/yard stick)
(B) describe the resulting effect on
Appropriate units to use when measuring length, area and volume
volume when dimensions of a solid
The variables and what they represent for all formulas
are changed proportionally.
How to identify 3D figures, Base(s), and their height
How to calculate the area of related polygons and circles
5. Calculate the volume of prisms, cylinders, pyramids, spheres, and cones
Textbook
tx.msmath3.com
TXT: 7-7 Explore
7-7,7-8 Explore, 7-8
MSC: p. 94, 95,
98-101, 106, 108-109,
111, 114, 120-121,
131.
TXT: 7-1
7-3
7-7 Explore
7-7
7-8 Explore
7-8
MSC: p. 94, 95,
98-101, 106, 108-109,
111, 114, 120-121,
131.
TXT:
7-5 Explore
7-5
7-6 Explore
7-6
MSC:
p. 105,107,115-119
TXT:
7-5 Explore
7-5
7-6 Explore
7-6
MSC:
p. 105,107,115-119
TXT:
7-5 Explore
7-5
How to use measuring tools (including rulers both metric and standard, 7-6 Explore
measuring tapes, meter/yard stick)
7-6
MSC:
Appropriate units to use when measuring length, area and volume
p. 105,107,115-119
Vocabulary related to measurement
The variables and what they represent for all formulas
How to identify 3D figures, Base(s), and their height
How to calculate the area of related polygons and circles
7th Grade PACE
2007-2008
Measurement Quick Planner
Suggested Timing: 4 - 5 Weeks
Common Performance Assessment: Container Confusion
Focus TEKS
Textbook
Students
Students will need to know…
will…
tx.msmath3.com
6. Use indirect measurement to find missing measurements in similar three TXT:
7-9 Explore
dimensional figures
7-9
Vocabulary related to measurement
Appropriate units to use when measuring length, area and volume
That the sides of similar figures are proportional
7. Observe and describe the resulting effects on perimeter when dimensions TXT:
of a shape are changed proportionally
7-9 Explore
7-9
Vocabulary related to measurement
How to use measuring tools (including rulers both metric and standard,
measuring tapes, meter/yard stick)
Appropriate units to use when measuring length, area and volume
How to calculate the area of related polygons and circles
How to recognize proportionality within similar polygons and solids
8. Observe and describe the resulting effects on area when dimensions of a TXT:
shape are changed proportionally
7-9 Explore
7-9
Vocabulary related to measurement
How to use measuring tools (including rulers both metric and standard,
measuring tapes, meter/yard stick)
Appropriate units to use when measuring length, area and volume
The variables and what they represent for all formulas
How to identify 3D figures, Base(s), and their height
How to calculate the area of related polygons and circles
How to recognize proportionality within similar polygons and solids
9. Observe and describe the resulting effects on volume when dimensions of TXT:
a shape are changed proportionally
7-9 Explore
7-9
Vocabulary related to measurement
How to use measuring tools (including rulers both metric and standard,
measuring tapes, meter/yard stick)
Appropriate units to use when measuring length, area and volume
The variables and what they represent for all formulas
How to identify 3D figures, Base(s), and their height
How to calculate the area of related polygons and circles
How to recognize proportionality within similar polygons and solids
7th Grade PACE
2007-2008
Probability Quick Planner
Suggested Timing: 1 - 2 Weeks
Common Performance Assessment: Perplexing Polygons
Students
Students will need to know…
will…
1.
Distinguish
between dependent and independent events
(8.11) Probability and statistics. The
student applies concepts of
Vocabulary related to probability
theoretical and experimental
Key words that indicate certain types of probabilities
probability to make predictions.
The difference between dependent and independent events
Focus TEKS
(A) find the probabilities of dependent
and independent events
(B) use theoretical probabilities and
experimental results to make
predictions and decisions
2. Write probabilities using different forms of rational numbers
Vocabulary related to probability
All probabilities are between 0 and 1, inclusive
The sum of the probabilities of all outcomes in an event is 1
Probabilities can be expressed in different forms of rational numbers
Textbook
tx.msmath3.com
TXT: 8-4, 8-5
MSC: p. 26, 27
TXT: 8-1, 8-4, 8-5
MSC: p. 26-29
3. Find the probability of independent events
Vocabulary related to probability
(C) select and use different models to
Key words that indicate certain types of probabilities
simulate an event
The difference between dependent and independent events
Theoretical probability is based on mathematical calculations
Probabilities can be expressed in different forms of rational numbers
TXT: 8-4
4. Find the probability of dependent events
Vocabulary related to probability
Key words that indicate certain types of probabilities
The difference between dependent and independent events
Theoretical probability is based on mathematical calculations
Probabilities can be expressed in different forms of rational numbers
TXT: 8-4
5. Use theoretical probabilities to make predictions
Vocabulary related to probability
Key words that indicate certain types of probabilities
The difference between experimental and theoretical probabilities
All probabilities are between 0 and 1, inclusive
The sum of the probabilities of all outcomes in an event is 1
Theoretical probability is based on mathematical calculations
Probabilities can be expressed in different forms of rational numbers
How to apply proportional reasoning to make predictions
TXT: 8-5
6. Approximate probabilities based on experimental results
Vocabulary related to probability
Key words that indicate certain types of probabilities
The difference between experimental and theoretical probabilities
All probabilities are between 0 and 1, inclusive
The sum of the probabilities of all outcomes in an event is 1
Experimental probability is based on results of trials
Probabilities can be expressed in different forms of rational numbers
TXT: 8-5,
8-5 Extend
7th Grade PACE
MSC: p. 26, 27
MSC: p. 26, 27
MSC: p. 26
MSC: p. 26
2007-2008
Probability Quick Planner
Suggested Timing: 1 - 2 Weeks
Common Performance Assessment: Perplexing Polygons
Focus TEKS
Students
Students will need to know…
will…
7. Make predictions based on experimental results
Vocabulary related to probability
Key words that indicate certain types of probabilities
The difference between experimental and theoretical probabilities
Experimental probability is based on results of trials
Probabilities can be expressed in different forms of rational numbers
How to apply proportional reasoning to make predictions
8. Recognize models that accurately simulate probability events
Vocabulary related to probability
The sum of the probabilities of all outcomes in an event is 1
Theoretical probability is based on mathematical calculations
Experimental probability is based on results of trials
Textbook
tx.msmath3.com
TXT: 8-5,
8-5 Extend, 8-8
TXT: 8-6, 8-7
How to design a simulation based on the known probabilities of a
situation
Probabilities can be expressed in different forms of rational numbers
How to apply proportional reasoning to make predictions
9. Create models that accurately simulate probability events
Vocabulary related to probability
The sum of the probabilities of all outcomes in an event is 1
Theoretical probability is based on mathematical calculations
Experimental probability is based on results of trials
TXT: 8-7,
8-7 Extend
How to design a simulation based on the known probabilities of a
situation
Probabilities can be expressed in different forms of rational numbers
How to apply proportional reasoning to make predictions
7th Grade PACE
2007-2008
Data Analysis Quick Planner
Suggested Timing: 2 - 3 Weeks
Common Performance Assessment:
Students
Students will need to know…
will…
1. Calculate measures of central tendency and range for a set of data
(8.12) Probability and statistics. The
Vocabulary related to data analysis
student uses statistical procedures to
How to calculate the measures of central tendency and range
describe data. The student evaluates 2. Select the appropriate measure of central tendency or range to describe a
predictions and conclusions based on set of data for a particular purpose
statistical data.
Vocabulary related to data analysis
(A) select the appropriate measure of
Key words that indicate different measures of central tendency (or
central tendency or range to
range)
describe a set of data and justify the
choice for a particular situation
How to calculate the measures of central tendency and range
(B) draw conclusions and make
How extremes in a set of data affect the measures of central tendency
predictions by analyzing trends in
3. Justify the choice of measure of central tendency or range to represent a
scatter plots
set of data for a particular purpose
(C) select and use an appropriate
Vocabulary related to data analysis
representation for presenting and
Key words that indicate different measures of central tendency (or
displaying relationships among
range)
collected data, including line plots,
How to calculate the measures of central tendency and range
circle graphs, bar graphs, box and
How extremes in a set of data affect the measures of central tendency
whisker plots, histograms, and Venn
diagrams with and without technology 4. Draw conclusions by analyzing trends in scatter plots
(8.13) Probability and statistics. The
Vocabulary related to data analysis
student evaluates predictions and
How to recognize relationships in data on a graph
conclusions based on statistical data.
Common ways graphs can be made to misrepresent data
The student is expected to:
5. Predict by analyzing trends in scatter plots
(A) evaluate methods of sampling to
Vocabulary related to data analysis
determine validity of an inference
How to recognize relationships in data on a graph
made from a set of data
Proportional reasoning and/or trend lines can be used to predict
(B) recognize misuses of graphical or
numerical information and evaluate 6. Create various representations of data with and without technology (line
predictions and conclusions based on plot, circle graph, bar graph, box and whisker plot, histogram, Venn
diagram, scatterplots)
data analysis
Focus TEKS
Vocabulary related to data analysis
How to choose appropriate representations for a given set of data
based on the characteristics of each representation
How to appropriately set up graphs (titles, axes, scales, intervals)
How to use technology to create graphs
7th Grade PACE
Textbook
tx.msmath3.com
TXT: 9-4,
9-4 Extend,
TXT: 9-4
TXT: 9-4
TXT: 11-8,
11-8 Extend
TXT: 11-8,
11-8 Extend
TXT: 9-1, 9-2,
9-2 Extend, 9-3,
9-3 Extend, 9-5, 9-6,
9-6 Extend, 9-7,
3-3 PSI
2007-2008
Data Analysis Quick Planner
Suggested Timing: 2 - 3 Weeks
Common Performance Assessment:
Focus TEKS
Students
Students will need to know…
will…
7. Select appropriate representations for presenting and displaying given a
set of data
Vocabulary related to data analysis
Textbook
tx.msmath3.com
TXT: 9-3 Extend,
9-7
How to choose appropriate representations for a given set of data
based on the characteristics of each representation
How to recognize relationships in data on a graph
8. Use graphical representations to analyze, predict, infer, and draw
conclusions
Vocabulary related to data analysis
How to choose appropriate representations for a given set of data
based on the characteristics of each representation
How to recognize relationships in data on a graph
Proportional reasoning and/or trend lines can be used to predict
Common ways graphs can be made to misrepresent data
TXT: 9-1, 9-2, 9-2
Extend, 9-3, 9-3
Extend, 9-5, 9-6, 9-6
Extend, 9-7, 3-3
PSI, 11-7 PSI
9. Evaluate methods of sampling to determine validity of an inference made TXT: 8-8
from a set of data
Vocabulary related to data analysis
What makes a valid sample and factors that make a sample or method
biased
10. Recognize misuses of graphical and numerical data
TXT: 9-8
Vocabulary related to data analysis
How extremes in a set of data affect the measures of central tendency
How to choose appropriate representations for a given set of data
based on the characteristics of each representation
How to appropriately set up graphs (titles, axes, scales, intervals)
How to recognize relationships in data on a graph
What makes a valid sample and factors that make a sample or method
biased
Common ways graphs can be made to misrepresent data
11. Evaluate predictions and conclusions based on data analysis
Vocabulary related to data analysis
TXT: 9-1, 9-2,
9-2 Extend, 9-3,
How extremes in a set of data affect the measures of central tendency 9-3 Extend, 9-5, 9-6,
9-6 Extend, 9-7, 3-3
How to recognize relationships in data on a graph
PSI, 11-7 PSI
Proportional reasoning and/or trend lines can be used to predict
What makes a valid sample and factors that make a sample or method
biased
Common ways graphs can be made to misrepresent data
7th Grade PACE
2007-2008