Grade 6 Everyday Mathematics Content by Strand
®
August/September
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November
December
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March
April
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Lessons 1䉬1–2䉬1
Lessons 2䉬2–3䉬2
Lessons 3䉬3–4䉬4
Lessons 4䉬5–4䉬12
Lessons 5䉬1–6䉬3
Lessons 6䉬4–7䉬3
Lessons 7䉬4–8䉬8
Lessons 8䉬9–9䉬5
Lessons 9䉬6–10䉬6
Use algorithms to multiply
multidigit whole numbers.
Apply extended facts and order of operations to
express the value of digits in a number.
[Goal 2; Lessons 2䉬1, 2䉬2]
Mentally add, subtract, multiply,
and divide whole numbers.
Subtract multidigit whole
numbers. [Goal 1; Lesson 5 1]
Add and subtract multidigit whole
numbers.
[Goal 1; Lessons 5䉬2, 5䉬9, 5䉬10]
Add integers. [Goal 1; Lesson 5䉬4]
Use estimation strategies to solve problems.
Subtract multidigit whole
numbers to find data ranges.
Adapt whole-number algorithms to add and
subtract decimals. [Goal 1; Lesson 2 3]
Use extended multiplication and division facts to
convert between metric units. [Goal 2; Lesson 2 3]
Estimate sums and differences of decimals.
Add and subtract mixed
numbers with like and unlike
denominators. [Goal 3; Lesson 4 5]
Use an algorithm to multiply a
fraction by a fraction.
Apply previous knowledge of fact families.
[Goal 2; Lesson 1䉬1]
Apply multiplication and division
facts to evaluate algebraic
expressions. [Goal 2; Lesson 3 3]
Apply multiplication facts and
strategies to find the area of a
geometric shape.
[Goal 2; Lesson 3䉬4]
Multiply fractions.
[Goal 4; Lesson 4䉬7]
Use an algorithm to divide fractions. [Goal 4; Lesson 6 11]
Add fractions with like denominators. [Goal 3; Lesson 7 1]
[Goal 1; Lesson 1䉬7]
[Goal 5; Lesson 2䉬3]
Multiply decimal numbers.
Estimate the product of a decimal and a power of
10. [Goal 5; Lesson 2 4]
Apply multiplication facts and extended-fact
strategies to multiply decimals.
Apply basic multiplication
and division facts to find an
equivalent rate.
Use an algorithm to multiply
fractions and mixed numbers.
Operations and Computation
[Goals 1 and 2; Lesson 1䉬5]
[Goal 2; Lesson 1䉬10]
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Use a calculator to compute
products and quotients of whole
numbers. [Goal 2; Lesson 1 11]
Apply extended facts and order of
operations to express the value of
digits in a number.
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[Goal 2; Lessons 2䉬1, 2䉬2]
Add and subtract fractions with like and unlike
denominators. [Goal 3; Lesson 7 5]
Use an algorithm to multiply a fraction by a fraction and a
whole number by a fraction. [Goal 4; Lesson 7 5]
Add and subtract whole numbers. [Goal 1; Lesson 7 6]
Use an algorithm to multiply a fraction by a whole
number. [Goal 4; Lessons 7 7, 7 8]
Use proportions to model, summarize, and solve rate
problems. [Goal 6; Lessons 8 1, 8 2]
Divide whole numbers by whole and decimal
numbers. [Goal 2; Lesson 8 2]
Apply multiplication and division facts to find cross
products. [Goal 2; Lesson 8 3]
Multiply whole or decimal numbers.
Multiply fractions by whole-number scalars.
[Goal 2; Lesson 8䉬3]
Add and subtract signed numbers.
Use cross products to write open number sentences.
[Goal 1; Lesson 9䉬3]
[Goal 6; Lesson 8䉬3]
Estimate products of decimal and whole numbers.
[Goal 5; Lesson 4䉬9]
Add and subtract decimals. [Goal 1; Lesson 9 3]
Add and subtract fractions.
[Goal 5; Lesson 8䉬4]
[Goal 3; Lessons 9䉬3, 9䉬4, 9䉬5]
Use multiplication and division
facts to find equivalent fractions.
Write an open sentence from cross products.
Add and subtract decimal and signed numbers.
[Goal 6; Lessons 8䉬4, 8䉬6]
[Goal 2; Lesson 4䉬10]
[Goal 1; Lessons 9䉬4, 9䉬5]
Apply multiplication facts to solve rate problems.
Use a magnitude estimate to
place the decimal point in a
quotient. [Goal 5; Lesson 4 10]
Add and subtract multidigit
numbers. [Goal 1; Lesson 4 11]
Multiply a whole number by a
fraction or a decimal number.
Multiply whole numbers and fractions.
[Goal 2; Lesson 8䉬5]
[Goal 4; Lesson 9䉬4]
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[Goal 4; Lesson 4䉬6]
Use multiplication and division
facts to find equivalent fractions
and simplify fractions.
[Goal 2; Lesson 3䉬5]
Apply multiplication and division
facts to calculate rates.
[Goal 2; Lesson 4䉬8]
[Goal 2; Lesson 2䉬5]
[Goal 2; Lessons 3䉬6, 3䉬10]
Use a calculator to rename
fractions as percents by dividing.
Make reasonable estimates for products of
decimal factors. [Goal 5; Lessons 2 5, 2 6]
Multiply decimals using the lattice and traditional
methods. [Goal 2; Lesson 2 6]
Find differences of partial quotients.
Mentally add signed numbers.
[Goal 2; Lesson 4䉬9]
[Goal 1; Lessons 3䉬7, 3䉬8]
Interpret the remainder and
adjust/truncate/round the
quotient accordingly.
[Goal 1; Lessons 2䉬7, 2䉬8]
[Goal 2: Lessons 4䉬1, 4䉬2, 4䉬4]
Use multiplication and extended facts to
compute partial quotients.
Use multiplication and division
facts to simplify fractions.
[Goal 2; Lessons 2䉬7, 2䉬8]
[Goal 2; Lesson 4䉬3]
Divide multidigit whole numbers.
[Goal 2; Lesson 2䉬7]
Add and subtract fractions with
like and unlike denominators.
Divide a decimal number by a whole number.
[Goal 3; Lesson 4䉬3]
[Goal 2; Lesson 2䉬8]
Add and subtract mixed numbers
with like denominators.
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Use an estimate to place the decimal point in a
quotient. [Goal 5; Lesson 2 8]
Use extended facts to find products of very large
and very small numbers.
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Use multiplication and division
facts to find equivalent fractions
and simplify fractions.
[Goal 3; Lesson 4 4]
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[Goal 2; Lessons 6䉬4, 6䉬9, 6䉬10]
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Add, subtract, multiply, and divide signed numbers.
[Goals 1 and 2; Lessons 6䉬6, 6䉬11]
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[Goal 5; Lesson 6䉬8]
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[Goal 4; Lesson 6䉬1]
Use the Division of Fractions
Property to divide fractions and
mixed numbers.
[Goal 4; Lesson 6䉬2]
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Apply the inverse relationship
between addition and subtraction.
[Goal 1; Lesson 6䉬3]
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[Goal 4; Lesson 8䉬11]
Square whole and decimal numbers.
[Goal 2; Lesson 9䉬12]
Multiply whole numbers by decimalnumber scalars. [Goal 1; Lesson 9 13]
Use ratios to solve size-change
problems. [Goal 6; Lesson 9 13]
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Compare and interpret part-to-part ratios.
[Goal 6; Lessons 8䉬11, 8䉬12]
Apply division rules to find n-to-1 ratios.
[Goal 6; Lessons 8䉬11, 8䉬12]
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[Goal 6; Lesson 8䉬6]
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Use proportions to model and solve ratio number stories.
[Goal 6; Lesson 8䉬6]
Express ratios in words, as a fraction, with a colon, and
as a percent. [Goal 6; Lesson 8 7]
Use open proportions to model and solve percent
problems. [Goal 6; Lesson 8 7]
Express ratios as fractions and percents.
[Goal 4; Lesson 4䉬11]
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[Goal 6; Lesson 8䉬8]
Solve problems involving part-to-whole ratios.
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[Goal 6; Lesson 8䉬8]
Extend a pattern to develop a rule for multiplying
by powers of 10. [Goal 1; Lesson 2 4]
Extend numeric patterns. [Goal 2; Lesson 3 1]
Write a number sentence containing a variable
to describe a general pattern. [Goal 1; Lesson 3 1]
Apply general patterns to explore multiplicative
and additive inverses. [Goal 4; Lesson 3 1]
Describe a general number pattern in words and
with a number sentence (2 variables).
Write and evaluate an algebraic
expression for a situation.
[Goal 1; Lesson 3䉬2]
[Goal 2; Lesson 3䉬4]
Write special cases for the basic arithmetic
operations. [Goal 1; Lesson 3 2]
Use a formula to complete a table
and analyze a function.
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Patterns, Functions, and Algebra
[Goal 6; Lesson 9䉬9]
Express ratios in words, with colons, as
fractions, or as proportions. [Goal 6; Lesson 8 9]
Use proportions to solve problems involving
similar polygons. [Goal 6; Lesson 8 10]
Apply algorithms to multiply and divide fractions.
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Use a calculator to find the product of repeated
factors. [Goal 2; Lesson 2 10]
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[Goal 6; Lesson 8䉬9]
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Estimate whole-number sums. [Goal 5; Lesson 8 5]
Express ratios in words, as fractions, and with colons.
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[Goal 2; Lessons 2䉬9, 2䉬11]
Use a graph to investigate
the relationship between
the perimeter and area of a
rectangle. [Goal 1; Lesson 1 10]
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Multiply a decimal number by a power of 10.
[Goal 2; Lesson 1䉬1]
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[Goal 2; Lessons 2䉬9, 2䉬11]
Identify relation symbols.
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Use ratios to solve size-change problems.
Add and multiply whole and decimal
numbers. [Goal 2; Lesson 9 7]
Apply a scale to a drawing.
[Goal 4; Lesson 8䉬9]
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[Goal 1; Lesson 3䉬3]
Apply the Associative Property
of Addition to calculate sums of
mixed numbers.
Extend a pattern to create a rule.
Use the order of operations to solve problems.
[Goal 1; Lesson 5䉬4]
[Goal 3; Lessons 6䉬4, 6䉬5]
Represent an algorithm as a
general pattern with variables.
Write and evaluate algebraic
expressions. [Goal 1; Lesson 5 10]
Write a special case to illustrate a
general pattern.
[Goal 1; Lesson 4䉬6]
[Goal 1; Lesson 6䉬1]
Use the partial-products
method (Distributive Property of
Multiplication over Addition) to
multiply mixed numbers.
Define and find the reciprocal of
a number. [Goal 4; Lesson 6 1]
Apply the concept of a reciprocal.
Apply properties of multiplication (Commutative Property and
Multiplication Property of –1). [Goal 4; Lesson 6 4]
Apply the Identity, Commutative, Associative, and Distributive
properties of addition and multiplication. [Goal 4; Lesson 6 5]
Apply the Multiplication Property of –1. [Goal 4; Lesson 6 5]
Apply the order of operations to evaluate expressions.
[Goal 4; Lesson 6䉬2]
[Goal 1; Lesson 6䉬7]
[Goal 4; Lesson 4䉬7]
Use a general pattern to state the
Subtraction Rule.
Identify relation symbols in number sentences.
[Goal 1; Lesson 6䉬3]
Determine whether equalities and inequalities are true or
false. [Goal 2; Lesson 6 7]
Apply the order of operations to evaluate number sentences.
[Goal 4; Lesson 4䉬5]
Use a variable to represent
unknown quantities.
[Goal 1; Lesson 3䉬3]
Find the value of one variable in a
formula when the values of other
variables are given.
[Goal 1; Lessons 3䉬5, 3䉬6]
Write formulas using spreadsheet
cell names. [Goal 1; Lesson 3 7]
Evaluate algebraic expressions
and formulas.
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[Goal 3; Lessons 3䉬7, 3䉬8]
Use a graph to represent and
interpret a function.
Identify the missing value in an
open number sentence.
[Goal 2; Lesson 4䉬8]
Apply the Identity Property of
Multiplication to convert between
decimals and percents.
[Goal 4; Lesson 4䉬9]
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[Goal 1; Lesson 8䉬1]
[Goal 2; Lesson 9䉬1]
Identify the value that makes a proportion true.
Apply the Commutative and Associative
properties to solve number sentences involving
partial products. [Goal 4; Lesson 9 1]
Examine the relationships between partial
products and the Distributive Property.
[Goal 1; Lesson 8䉬1]
Translate word sentences into number sentences.
[Goal 2; Lesson 8䉬2]
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[Goal 2; Lessons 6䉬7, 6䉬12]
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Apply the Identity Property of Multiplication to solve
an open proportion. [Goal 4; Lesson 8 2]
Describe rules for patterns and use them to solve
problems. [Goal 1; Lesson 8 3]
Use a method to solve equations.
[Goal 3; Lesson 6䉬6]
[Goal 2; Lessons 8䉬3, 8䉬4, 8䉬6, 8䉬7]
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[Goal 4; Lesson 9䉬1]
Write special cases for basic arithmetic
operations. [Goal 1; Lesson 9 2]
Recognize order of operations in using and
applying distributive strategies.
Use distributive strategies to mentally compute
products. [Goal 4; Lesson 9 2]
Substitute values for a variable to check
simplified expressions. [Goal 2; Lesson 9 3]
Use distributive strategies to simplify algebraic
expressions. [Goal 4; Lessons 9 3, 9 4, 9 5]
Substitute values for variables to check
simplified expressions. [Goal 2; Lesson 9 4]
Use a method to solve equations.
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[Goal 3; Lesson 6䉬8]
Express rates as formulas.
Identify solutions of equations.
[Goal 1; Lesson 3䉬10]
[Goal 2; Lessons 6䉬9, 6䉬10, 6䉬11]
Apply the Multiplication Property
of One to find equivalent fractions
and simplify fractions.
Use inverse operations and properties of equality to find
equivalent equations. [Goal 4; Lessons 6 9, 6 10, 6 11]
Use a method to solve equations. [Goal 2; Lesson 6 10]
Translate between word and number sentences.
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Use signs of inequality to
compare fractions.
[Goal 1; Lesson 6䉬12]
[Goal 2; Lesson 4䉬2]
[Goal 2; Lesson 6䉬12]
Determine whether inequalities are true or false.
Substitute values for variables in
formulas. [Goal 2; Lesson 9 6]
Write and solve equations with one
unknown. [Goal 2; Lesson 9 6]
Use distributive strategies to simplify
algebraic expressions.
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[Goal 4; Lesson 9䉬6]
Write formulas using spreadsheet cell
names. [Goal 1; Lesson 9 7]
Evaluate algebraic expressions and
formulas. [Goal 2; Lesson 9 7]
Apply the Distributive Property to solve
an equation with one variable.
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[Goal 2; Lesson 9䉬7]
Determine whether equalities are true or false.
Apply the order of operations to solve equations.
[Goal 1; Lesson 9䉬6]
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[Goal 3; Lesson 9䉬2]
[Goal 2; Lesson 6䉬8]
Use formulas to solve problems.
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[Goal 3; Lesson 6䉬7]
[Goal 1; Lesson 3䉬9]
[Goal 4; Lesson 4䉬1]
Summarize rate situations in words.
Use a general pattern to predict the effect of a
size-change factor on area. [Goal 1; Lesson 8 10]
Recognize patterns in number sentences of
partial products. [Goal 1; Lessons 9 1, 9 2]
Solve for missing values in number sentences.
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Identify rules for patterns and use these patterns to
complete a table. [Goal 1; Lesson 8 1]
Solve rate problems using unit rates and rate tables.
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Evaluate expressions by completing a
table. [Goal 1; Lesson 9 10]
Use graphs to approximate solutions of
equations. [Goal 1; Lesson 9 10]
Approximate solutions of equations
using trial-and-error method.
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[Goal 2; Lesson 9䉬10]
Combine like terms to solve equations.
[Goal 2; Lesson 9䉬11]
Apply the order of operations to solve
equations. [Goal 3; Lesson 9 12]
Identify the inverse relationship between
the square of a number and its square
root. [Goal 4; Lesson 9 12]
Recognize patterns and apply them to
sove problems Goal 1; Lesson 10 5]
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[Goal 2; Lesson 9䉬5]
Use inverse operations and properties of equality
to find equivalent equations. [Goal 4; Lesson 9 5]
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Recognize that most inequalities have an infinite number of
solutions. [Goal 2; Lesson 6 12]
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The University of Chicago School Mathematics Project
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Grade 6 Everyday Mathematics Grade-Level Goals
®
Number and Numeration
Operations and Computation
Understand the meanings, uses, and representations of numbers.
Compute accurately.
Goal 1: Read and write whole numbers and decimals; identify places in such numbers and
the values of the digits in those places; use expanded notation, number-and-word
notation, exponential notation, and scientific notation to represent whole numbers
and decimals.
Goal 2: Solve problems involving percents and discounts; explain strategies used; identify
the unit whole in situations involving fractions, decimals, and percents.
Goal 3: Use GCFs, LCMs, and divisibility rules to manipulate fractions.
Goal 1: Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve
problems involving the addition and subtraction of whole numbers, decimals, and
signed numbers; describe the strategies used and explain how they work.
Goal 2: Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve
problems involving the multiplication and division of whole numbers, decimals, and
signed numbers; describe the strategies used and explain how they work.
Goal 3: Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve
problems involving the addition and subtraction of fractions and mixed numbers;
describe the strategies used and explain how they work.
Goal 4: Use mental arithmetic, paper-and-pencil algorithms, and calculators to solve
problems involving the multiplication and division of fractions and mixed numbers;
describe the strategies used and explain how they work.
Understand equivalent names for numbers.
Goal 4: Apply the order of operations to numerical expressions to give equivalent names for
rational numbers.
Goal 5: Find equivalent fractions and fractions in simplest form by applying multiplication and
division rules and concepts from number theory; convert between fractions, mixed
numbers, decimals, and percents.
Understand common numerical relations.
Goal 6: Choose and apply strategies for comparing and ordering rational numbers; explain
those choices and strategies.
Make reasonable estimates.
Goal 5: Make reasonable estimates for whole number, decimal, fraction, and mixed number
addition, subtraction, multiplication, and division problems; explain how the
estimates were obtained.
Data and Chance
Select and create appropriate graphical representations of collected or
given data.
Goal 1: Collect and organize data or use given data to create bar, line, circle, and
stem-and-leaf graphs with reasonable titles, labels, keys, and intervals.
Analyze and interpret data.
Goal 2: Use the minimum, range, median, mode, and mean and graphs to ask and answer
questions, draw conclusions, and make predictions; compare and contrast the
median and mean of a data set.
Understand and apply basic concepts of probability.
Goal 3: Use the Multiplication Counting Principle, tree diagrams, and other counting
strategies to identify all possible outcomes for a situation; predict results of
experiments, test the predictions using manipulatives, and summarize the findings;
compare predictions based on theoretical probability with experimental results;
calculate probabilities and express them as fractions, decimals, and percents;
explain how sample size affects results; use the results to predict future events.
Understand meanings of operations.
Goal 6: Use ratios and scaling to model size changes and to solve size-change problems;
represent ratios as fractions, percents, and decimals, and using a colon; model
and solve problems involving part-to-whole and part-to-part ratios; model rate and
ratio number stories with proportions; use and explain cross multiplication and other
strategies to solve proportions.
Measurement and Reference Frames
Geometry
Understand the systems and processes of measurement; use appropriate
techniques, tools, units, and formulas in making measurements.
Investigate characteristics and properties of two- and three-dimensional
geometric shapes.
1
Goal 1: Estimate length with and without tools; measure length with tools to the nearest __
16
inch and millimeter; estimate the measure of angles with and without tools; use tools
to draw angles with given measures.
Goal 2: Choose and use appropriate formulas to calculate the circumference of circles and
to solve area, perimeter, and volume problems.
Goal 1: Identify, describe, classify, name, and draw angles; determine angle measures by
applying properties of orientations of angles and of sums of angle measures in
triangles and quadrangles.
Goal 2: Identify and describe similar and congruent figures and describe their properties;
construct a figure that is congruent to another figure using compass and
straightedge.
Use and understand reference frames.
Goal 3: Use ordered pairs of numbers to name, locate, and plot points in all four quadrants
of a coordinate grid.
Apply transformations and symmetry in geometric situations.
Goal 3: Identify, describe, and sketch (including plotting on the coordinate plane) instances
of reflections, translations, and rotations.
Patterns, Functions, and Algebra
Understand patterns and functions.
Goal 1: Extend, describe, and create numeric patterns; describe rules for patterns and use
them to solve problems; represent patterns and rules using algebraic notation;
represent functions using words, algebraic notation, tables, and graphs; translate
from one representation to another and use representations to solve problems
involving functions.
Use algebraic notation to represent and analyze situations and structures.
Goal 2: Determine whether equalities and inequalities are true or false; solve open number
sentences and explain the solutions; use a pan-balance model to solve linear
equations in one or two unknowns; use trial-and-error and equivalent equations
strategies to solve linear equations in one unknown.
Goal 3: Describe and apply the conventional order of operations.
Goal 4: Describe and apply properties of arithmetic and multiplicative and additive inverses.
The University of Chicago School Mathematics Project
Everyday Mathematics® goals are organized here by
content strand. Program Goals are shown in bold face.
Numbered goals are specific to this grade level.