Unit/Topic: Number and Operations
Subject: Math
Learning Targets:
Place Value: How to read, write, and
understand place value of decimals and
whole numbers
Grade: 6th
9 Weeks: 1st
Enduring Understanding:
Numbers represent quantities that can be used to
solve everyday problems.
Essential Questions:
Use of standard, expanded, and scientific
notation
How can we use numbers in different ways to solve,
apply, and understand everyday problems?
Duration: 1st Half
Key Vocabulary:
6.1.1 Standard/Expanded Notation
6.1.1 Scientific Notation
6.1.4 Whole Numbers
6.1.4 Decimals
Rounding and Estimating whole numbers
and decimals
6.1.4 Integers
CSO’s/ Depth of Knowledge:
Compare and order whole numbers and
decimals before and after
rounding/estimating
Add, Subtract, Multiply, and Divide Whole
Numbers and Decimals
Understand and identify the four
mathematical properties
M.O.6.1.1 – demonstrate an understanding of large
numbers by converting and comparing numbers in
scientific notation and standard notation (with and
without technology). DOK 1
6.1.5 Distributive Property
6.1.5 Commutative Property
6.1.5 Associative Property
M.O.6.1.3 – compare and order integers DOK 1
M.O.6.1.4 - analyze and solve real-world problems
involving addition, subtraction, multiplication and
division of whole numbers, decimals, integers, and
justify the reasonableness by estimation. DOK 3
M.O.6.1.5 – apply and identify properties DOK 2
M.O.6.1.9 – use real world examples to test
hypotheses and solve problems involving integers
(ongoing throughout year) DOK 3
6.1.5 Identity Property
6.1.5 Numeric Expressions
6.1.5 Algebraic Expressions
Unit/Topic: Algebra
Subject: Math
Learning Targets:
To evaluate exponents (Standard Form,
Exponential Form)
Grade: 6
Duration: 2nd Half
9 Weeks: 1st
Enduring Understanding:
Patterns, models, and functions can be expressed
mathematically.
Key Vocabulary:
6.2.2 Inductive reasoning
6.2.2 Patterns
To use inductive reasoning to identify and
create patterns including use of Nth Term
Essential Questions:
6.2.2 Nth Term
How can a pattern, a model, or a function be used to
solve everyday problems?
Using Input/out Values, determine the
rule, write an expression, and identify the
values
Exponential Form
CSO’s/ Depth of Knowledge:
To use Order of Operations
6.2.2 Powers/Exponents
6.2.2 Use inductive reasoning to extend patterns to
predict the nth term (powers) DOK 2
Base
6.2.4 Input/output Values
6.2.4 Identify and write the rule for input/output DOK 2
To evaluate algebraic expressions
6.2.1 Simplify numerical expressions and evaluate
algebraic expressions using order of operations. DOK 1
Variable/Constant
Value
To write and solve one step algebraic
equations
6.2.3 Create algebraic expressions that correspond to
real-world situations; use the expressions to solve
problems. DOK 2
6.2.6 Write and solve one-step equations to represent
and solve real-world problems. DOK 2
Equation
Evaluate
Unit/Topic: Fractions, Ratios, Mixed Numbers, Decimals, Percents, etc.
Subject: Math
Learning Targets:
Percents
Grade: 6
9 Weeks: 2nd
Duration: Full 9 Weeks
Enduring Understanding:
A number can be represented in several different
ways and converted to different forms.
Key Vocabulary:
Fractions
Ratios
Basic fraction knowledge –
numerator/denominator, mixed
numbers, improper fractions, etc.
Essential Questions:
Percents
How do we use fractions, ratios, mixed numbers,
decimals, and percents, etc. in everyday life to solve
problems?
Convert fractions to decimals and percents
and understand their relationships
Mixed Numbers/Improper Fractions
CSO’s/ Depth of Knowledge
Compare and order fractions, decimals,
and percents
Add, subtract, multiply, and divide
fractions and mixed numbers
Simplest Form
6.1.7 Compute the percent of a number DOK 2
6.1.6 Convert between fraction/ratios, mixed
numbers, decimals, and percents in everyday
problems DOK 1
GCF and LCM
Numerator/Denominator
Numerator/Denominator
Prime/Composite Numbers
Greatest Common Factor (GCF)
6.1.2 Determine the greatest common factor, least
common multiple, and prime factorization DOK 2
Prime Factorization
6.1.4/6.1.8 Add, subtract, multiply, and divide
fractions and mixed numbers DOK 3
Least Common Multiple (LCM)
P. 2
Equivalent Fractions
Unit/Topic: Fractions, Ratios, Mixed Numbers, Decimals, Percents, etc.
Subject:
Math
Grade: 6th
9 Weeks: 2nd
Duration: Full 9 weeks
WV CSO’s/ Standards:
Technology:
Food Fare – Percent, Decimals, Fractions
Formative/Classroom Assessments Options:
Strategies:
Consider breaking up the teaching of the
fractions operations by doing Tech Steps
(for example, after teaching
addition/multiplication and before
subtraction/division)
Resources:
Unit/Topic: Geometry
Subject: Math
Learning Targets:
6.3.1 Analyze characteristics, identify,
measure and compare the geometric
figures
Grade: 6
Duration: 1st Half
9 Weeks: 3rd
Enduring Understanding:
Both real and man-made world are designed using
geometric figures.
Key Vocabulary:
Plane Figures
Lines
6.3.3 Apply the concepts of lines to real
world situations such as roads/routes
Essential Questions:
Angles
How does geometry appear in the natural world?
How does geometry appear in the man-made world?
6.3.4 Create designs using line and
rotational symmetry
Parallelograms
CSO’s/ Depth of Knowledge
6.3.5 Predict, describe, and perform
transformations on two-dimensional
shapes (translations, rotations, reflections)
6.3.6 Use geometric representations to
solve real-world problems
Polygons
Symmetry (line, rotational)
6.3.1 Lines, Angles, Polygons, Triangles DOK 2
6.3.2 Use inductive reasoning with the measures of interior
angles in polygons and derive the formula to determine the
sum of the measures of interior angles DOK 2
Transformations
Translations
6.3.3 Lines DOK 2
Rotations
6.3.4 Symmetry DOK 2
6.3.5 Transformations DOK 2
6.3.7 Plot polygons on coordinate girds,
determine lengths and areas from the
graph
Reflections
6.3.6 Geometric Representations DOK 2
6.3.7 Plot on coordinate grids DOK 1
Coordinate Grid
Unit/Topic: Measurement
Subject: Math
Learning Targets:
Measure objects to approximate Pi as
3.14
Grade: 6
Duration: 2nd Half
9 Weeks: 3rd
Enduring Understanding:
Measurement can be applied to many different real
life situations.
Key Vocabulary:
Perimeter
Area
To understand how to apply formulas to
determine the perimeter, area, and
volume of polygons and prisms
Essential Questions:
Pi
How does what we measure determine how we
measure?
Diameter
To investigate surface area
Circumference
CSO’s/ Depth of Knowledge:
Determine volume
Construct a scale drawing
M.O.6.4.1 Determine approximation for Pi using
actual measurements DOK 2
Volume
Prisms
M.O. 6.4.2 Area and perimeter of composite figures
DOK 3
Surface Area
M.O.6.4.3 Investigate, model, and describe surface
area of prisms DOK 2
Cylinder
M.O.6.4.4 Develop strategies to determine volume
DOK 2
Cube
M.O.6.4.5 Construct a scale drawing DOK 2
Scale Drawing
Unit/Topic: Data Analysis
Subject: Math
Grade: 6
Duration: 1st Half
9 Weeks: 4th
Learning Targets:
Enduring Understanding:
6.5.1 Collect, organize, display, read,
interpret, and analyze real-world data
using graphs and tables
Graphs, tables, and measures such as mean and
mode can be used to represent real world data.
Key Vocabulary:
Graphs
Tables
Essential Questions:
6.5.1 Synthesize date to create a variety
of graphs
Mean
How can graphs, tables, and the measures of central
tendency help you make informed decisions?
Median
Mode
6.5.2 Decide which statistical measure
bests fits your data
CSO’s/ Depth of Knowledge:
M.O.6.5.1 Collect, organize, display, read, interpret
and analyze real-world data using graphs and tables.
DOK 3
M.O.6.5.2 identify a real life situation using statistical
measures (mean, median, mode, range, outliers);
make a hypothesis as to the outcome; design and
implement a method to collect, organize and analyze
data; analyze the results to make a conclusion;
evaluate the validity of the hypothesis based upon
collected data, design a mode of presentation using
words, graphs, models, and/or tables (with and
without technology). DOK 4
Range
Outliers
Stem Leaf
Scatter and Line Plots
Axis, Axes
Bar Graph
P. 2
Unit/Topic: Probability
Subject: Math
Learning Targets:
Grade: 6
9 Weeks: 4th
Duration: 2nd Half
Enduring Understanding:
Key Vocabulary:
6.5.3 Experimental Probability
6.5.3 Able to perform hands-on
experiments using manipulatives and
predict outcomes
The likeliness of something happening can be
calculated mathematically.
Essential Questions:
6.5.3 Differentiate between theoretical
probability and experimental probability
6.5.4 Create a list or a tree diagram to
determine how many different
combinations possible
What is the relationship between experimental and
theoretical probability?
6.5.3 Theoretical Probability
6.5.3 Odds
6.5.4 Combinations
6.5.4 Permutations
CSO’s/ Depth of Knowledge:
M.O.6.5.3 perform simple probability events using
manipulatives; predict the outcome given events
using experimental and theoretical probability;
express experimental and theoretical probability as a
ratio, decimal or percent. DOK 2
M.O. 6.5.4 determine combinations and permutations
of given real-world situations by multiple strategies,
including creating lists. DOK 2
Fair
Outcomes
Random Events
Compound Events
Trials
Tree Diagram