GRADE 7 DIFF PREALGEBRA (MCDOUGAL PREALGEBRA) SYLLABUS–SEMESTER ONE
This DIFF Prealgebra course represents content necessary as preparation for Diff Algebra & Diff Geometry
Concepts and Skills
Section
WRITE AND EVALUATE EXPRESSIONS
• Students will be able to evaluate and write variable expressions.
1.1
Students will be able to use powers to describe repeated multiplication.
1.2
• Students will be able to use order of operations to evaluate expressions.
1.3
PERFORM OPERATIONS WITH INTEGERS
Students will be able to compare and order integers & find absolute value.
1.4
• Students will be able to add, subtract, multiply and divide integers.
1.5, 1.6
& 1.7
• Students will identify and plot points in a coordinate plane.
1.8
• Students will be able to find the distance between points along horizontal and vertical lines.
(May use McDougal Course 2 lesson 6.8, or see docushare for lesson from Big Ideas Math)
Supp
PERFORM TRANSFORMATIONS
• Students will be able to translate figures in a coordinate plane.
13.4
Students will be able to identify lines of symmetry for a reflection.
13.5
• Students will be able to rotate figures in a coordinate plane.
13.6
REASSESS UNIT 1 WITH UNIT 13 TEST
SIMPLIFY VARIABLE EXPRESSIONS
Students will be able to use properties of addition and multiplication.
2.1
Students will be able to use the distributive property.
2.2
Students will be able to simplify variable expressions.
2.3
SOLVE ONE-STEP EQUATIONS
• Students will be able to write verbal sentences as equations.
2.4
Students will be able to solve one-step equations involving integers.
2.5&2.6
Students will be able to solve equations involving decimals.
2.7
APPLY ONE-STEP EQUATIONS
REASSESS UNIT 13 WITH UNIT 2
7th Grade State Standards
[SS 7.3.1a] DK1 & DK2
[SS 7.3.3c] DK1
[SS 7.1.2c, SS 7.1.3a, SS 7.1.3b, SS 7.3.3a]
DK1
[SS 7.2.2a, SS 7.2.2b] DK1
[SS 7.2.2c] DK1
[SS 7.2.3b] DK1 & DK2
[SS 7.2.3a]
[SS 7.2.3b] DK1 & DK2
[SS7.3.3f]
[SS 7.3.1c, SS 7.3.3b]
[SS 7.3.1c]
[SS 7.3.1a, SS 7.3.2b] DK1 & DK2
[SS 7.1.4a, SS 7.3.2b]
[SS 7.1.2b, SS 7.1.4a, SS 7.3.2b]
DCA-M #1
SOLVE EQUATIONS
• Students will be able to solve two-step equations.
3.1
[SS 7.1.4a, SS 7.3.2b, SS 7.3.3d,
SS 7.3.3f] DK1 & DK2
[SS 7.3.3b]
Students will be able to solve equations using the distributive property.
3.2
Students will be able to solve equations with variables on both sides.
3.3
SOLVE INEQUALITIES
Students will be able to solve inequalities using addition or subtraction.
3.4
[SS 7.1.4a, SS 7.3.1b, 7.3.2b, SS 7.3.3e]
DK1 & DK2
Students will be able to solve inequalities using multiplication or division.
3.5
• Students will be able to solve multi-step inequalities.
3.6
[SS 7.1.4a] DK1 & DK2
APPLY EQUATIONS & INEQUALITIES
CUMULATIVE ASSESSMENT CHAPTERS 2 & 3
USE FACTORS & MULTIPLES IN FRACTION RELATIONSHIPS
Students will be able to write the prime factorization of a number.
4.1
Students will be able to find the GCF of two or more whole numbers.
4.2
[SS 7.1.1e]
Students will be able to write equivalent fractions.
4.3
[SS 7.1.1b]
Students will be able to find the LCM of two numbers.
4.4
[SS 7.1.1e]
USE PROPERTIES OF EXPONENTS
Students will be able to multiply and divide powers.
4.5
Students will be able to use negative and zero exponents.
4.6
• Students will be able to write numbers using scientific notation.
4.7
[SS 7.1.1c] DK1 & DK2
APPLY FRACTION RELATIONSHIPS AND POWERS TO REAL-LIFE
SIMPLIFY FRACTIONAL EXPRESSIONS (INCLUDING VARIABLES)
• Students will be able to write fractions as decimals and vice versa and
5.1
[SS 7.1.1a, SS 7.1.1b, SS 7.1.1d]
use to compare and order numbers.
DK1 & DK2
Students will be able to add and subtract fractions.
5.2 & 5.3
[SS 7.1.3b] DK1 & DK2
• Students will be able to multiply fractions and mixed numbers. Pg 780.
5.4
[SS 7.1.2a, SS 7.1.3b] DK1 & DK2
• Students will be able to divide fractions and mixed numbers.
5.5
SOLVE EQUATIONS & INEQUALITIES WITH FRACTIONS
Students will be able to use multiplicative inverses to solve equations.
5.6
[SS 7.1.1e, SS 7.1.4a, SS 7.3.3f]
Students will be able to use the LCD to solve equations and inequalities.
5.7
APPLICATIONS OF FRACTIONS TO REAL-LIFE
CUMULATIVE ASSESSMENT CHAPTERS 4 & 5
SS = State Standard
• = State Standard Assessed
DK = Depth of Knowledge Assessed
NOTES:
•
•
•
•
Students should estimate and check reasonableness of answers throughout the course. [SS 7.1.4a] DK1 & DK2
Use the “Focus on Problem Solving” sections throughout the course. [SS 7.1.3b] DK1 & DK2
Use pages 795-802 to teach problem solving strategies throughout the course. [SS 7.1.3b] DK1 & DK2
Model contextualized problems using various representations when possible. [SS 7.3.2a] DK1 & DK2
Use 7th Grade NeSA-M Review problems throughout curriculum as warm-ups and spiral review.
MAY 2013
GRADE 7 DIFF PREALGEBRA (MCDOUGAL PREALGEBRA) SYLLABUS–SEMESTER TWO
Concepts and Skills
Section
7th GRADE State Standard
RATE, RATIO & PROPORTION
Students will be able to find ratios and unit rates.
6.1
Students will be able to write and solve proportions.
6.2 & 6.3
Students will be able to identify similar and congruent figures. Basic Geometry Concepts pg. 285
6.4
APPLY RATIO AND PROPORTION TO GEOMETRY PROBLEMS
Students will be able to find unknown side lengths of similar figures.
6.5
Students will be able to use proportions with scale drawings.
6.6
[SS 7.2.1a]
[SS 7.2.1a]
DCA-M #2
SOLVE PERCENT PROBLEMS
• Students will be able to write fractions and decimals as percents and find percent of a number.
7.1 & 7.3
• Students will be able to solve percent problems.
7.2 & 7.4
APPLY PERCENTS TO REAL-LIFE PROBLEMS
• Students will be able to find a percent of change in a quantity.
7.5
• Students will be able to find markups, discounts, sales tax, and tips.
7.6
Students will be able to calculate interest earned and account balances.
7.7
[SS 7.1.4a]
[SS 7.1.3c, SS 7.1.4a] DK 1 & DK2
[SS 7.1.3c] DK1 & DK2
CUMULATIVE ASSESSMENT CHAPTERS 6 & 7
INTERPRET DATA DISPLAYS
Students will be able to make & interpret box-and-whisker plots.
• Students will be able to choose appropriate displays for data sets.
(Preview with student reference pgs. 594-595)
•Skill Review: Find Mean, Median, Mode and Range for sets of data. (pgs 39&40)
Students will be able to identify populations and sampling methods.
Students will be able to make conclusions about populations using surveys.
DETERMINE PROBABILITY OUTCOMES
• Students will be able to find probabilities.
• Students will be able to use the counting principle to find probabilities.
• Students will be able to find the probability that event A or event B occurs.
• Students will be able to find the probability that event A and event B occurs.
11.2
11.3
11.4
11.5
[SS 7.4.1a, SS 7.4.1b]
DK1 & DK2
[SS 7.4.1c, SS 7.4.1d, SS 7.4.2a]
6.7
6.8
11.8
11.9
[SS 7.4.3b] DK2
[SS 7.4.3a] DK2
DCA-M #3
ANGLE RELATIONSHIPS AND PLANE FIGURES
Students will be able to solve problems involving triangles.
10.1
Students will be able to classify polygons and quadrilaterals.
10.2
Students will be able to classify special pairs of angles.
13.1
• Students will be able to find the areas of parallelograms and trapezoids.
10.3
• Students will be able to find circumferences and areas of circles.
10.4
DCA-M #3B
[SS 7.2.5b] DK1 & DK2
***At this point in curriculum 7th Grade Assessed State Standards have been covered***
FIND SURFACE AREA AND VOLUME OF SOLIDS
Students will be able to find the surface areas of prisms and cylinders. Pg. 535
10.5
Students will be able to find the surface areas of pyramids and cones.
10.6
Students will be able to find the volumes of prisms and cylinders.
10.7
Students will be able to find the volumes of pyramids and cones.
10.8
[SS 7.2.4a, SS 7.2.4b]
CUMULATIVE ASSESSMENT CHAPTERS 11 &10
SIMPLIFY RADICAL (SQUARE ROOT) EXPRESSIONS
Students will be able to find and approximate square roots.
9.1
Students will be able to simplify radical expressions.
9.2
Students will be able to compare and order real numbers.
9.4
APPLY PYTHAGOREAN THEOREM
Students will be able to use the Pythagorean theorem to solve problems.
9.3
[SS 7.1.1b]
GRAPH LINEAR FUNCTIONS (not reassessed)
Students will be able to use graphs to represent relations and functions.
8.1
Students will be able to find solutions of equations in two variables.
8.2
Students will be able to use x- and y-intercepts to graph linear equations.
8.3
Students will be able to find and interpret slopes of lines.
8.4
Reassess Unit 9 w/Unit 8 Test
This DIFF Pre-Algebra course represents content necessary as preparation for Diff Algebra & Diff Geometry
SS = State Standard
• = State Standard Assessed
DK = Depth of Knowledge Assessed
NOTE: •
•
•
•
Students should estimate and check reasonableness of answers throughout the course. [SS 7.1.4a] DK1 & DK2
Use the “Focus on Problem Solving” sections throughout the course. [SS 7.1.3b] DK1 & DK2
Use pages 795-802 to teach problem solving strategies throughout the course. [SS 7.1.3b] DK1 & DK2
Model contextualized problems using various representations when possible. [SS 7.3.2a] DK1 & DK2
Use 7th Grade NeSA-M Review problems throughout curriculum as warm-ups and spiral review.
MAY 2013