Grade 3 Everyday Mathematics® Content by Strand The University

Grade 3 Everyday Mathematics Content by Strand
®
August/September
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November
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Lessons 1䉬1–1䉬13
Lessons 2䉬1–3䉬3
Lessons 3䉬4–4䉬6
Lessons 4䉬7–5䉬8
Lessons 5䉬9–6䉬8
Lessons 6䉬9–7䉬9
Lessons 8䉬1–9䉬4
Lessons 9䉬5–10䉬3
Lessons 10䉬4–11䉬5
Practice addition facts through
10 + 10.
Use basic facts to find perimeter.
Practice multiplication facts.
[Goal 1; Lesson 3䉬4]
[Goal 3; Lesson 4䉬7]
Compare differences among
rainfall data to solve problems.
Identify factors, products, square numbers, and patterns
in the Multiplication/Division Facts Table.
Generate multiplication fact
families. [Goal 3; Lesson 4 8]
Use multiplication facts to
estimate the number of dots in
a large array.
[Goal 2; Lesson 5䉬10]
[Goal 3; Lesson 7䉬1]
Use multiplication facts to
find the area of the base of a
rectangular prism.
Estimate answers to
decimal number stories
involving difference and ratio
comparisons.
[Goal 3; Lesson 9䉬6]
[Goal 3; Lesson 10䉬5]
[Goal 3; Lesson 4䉬8]
[Goal 5; Lesson 5䉬10]
Use the Multiplication/Division Facts Table to generate
fact families. [Goal 3; Lesson 7 1]
Use arrays to find square products. [Goal 6; Lesson 7 1]
Identify square products. [Goal 3; Lesson 7 2]
Use multiplication facts to play Multiplication Bingo.
[Goal 1; Lesson 1䉬6]
[Goal 2; Lesson 2䉬4]
[Goal 3; Lesson 4䉬1]
Use arrays to solve a multidigit
multiplication problem.
Find differences between pairs
of numbers.
Use strategies (counters, pictures, or
arrays) to compute facts up to 10 3 10.
Solve calculator addition an d
subtraction puzzles.
Explain strategies for solving number stories involving addition and
subtraction. [Goal 2; Lesson 2 4]
Solve addition and subtraction number stories using parts-and-total
diagrams. [Goal 6; Lesson 2 4]
Use basic facts to solve extended fact problems.
Use a Place-Value Book to
identify numbers that are 10
more (less), 1 more (less), and
0.1 more (less).
Use equal sharing to solve
fractional part-of-a-collection
problems. [Goal 6; Lesson 8 1]
Use multiplication facts to solve
problems. [Goal 3; Lesson 9 1]
Use strategies to solve 1-digit
by multidigit multiplication
problems. [Goal 4; Lesson 9 2]
Use a multiplication/division
diagram to show multiples of
equal groups.
Use multiplication facts to make estimates and calculate
partial products. [Goal 3; Lesson 9 5]
Use the partial-products algorithm to multiply 1-digit by
multidigit numbers. [Goal 4; Lesson 9 5]
Make reasonable estimates. [Goal 5; Lesson 9 5]
Use multiplication facts to solve problems.
Practice addition and
subtraction facts.
Use Fact Triangles and fact families to develop automaticity with
addition and subtraction facts. [Goal 1; Lesson 2 1]
Use mental arithmetic to solve problems involving the addition and
subtraction of whole numbers. [Goal 2; Lesson 2 1]
Use basic addition and subtraction facts to solve problems with
multiples of 10 and extended fact problems. [Goal 1; Lesson 2 2]
Solve calculator addition and subtraction puzzles. [Goal 2; Lesson 2 2]
Use basic facts to compute extended facts. [Goal 1; Lesson 2 3]
Solve multidigit number stories involving addition and subtraction.
[Goal 2; Lesson 1䉬9]
[Goal 1; Lessons 2䉬5, 2䉬6, 2䉬9]
[Goal 6; Lesson 4䉬1]
Calculate values of coin and bill
combinations.
Use and explain strategies to solve addition and subtraction number
stories. [Goal 2; Lesson 2 5]
Solve change-to-more and change-to-less multidigit addition and
subtraction number stories using change diagrams. [Goal 6; Lesson 2 5]
Solve multidigit number stories using comparison diagrams.
Use basic facts to solve multiplication
number stories. [Goal 3; Lesson 4 2]
Use arrays to model multiplication. [Goal
[Goal 1; Lesson 1䉬3]
Use a calculator to solve
multidigit addition and
subtraction problems.
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[Goal 2; Lesson 1䉬4]
Operations and Computation
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[Goal 1; Lesson 1䉬8]
[Goal 2; Lesson 1䉬10]
Add money amounts, count up,
or find the difference to make
change.
[Goal 2; Lesson 1䉬11]
Practice estimation skills with
money amounts.
[Goal 5; Lesson 1䉬11]
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[Goal 1; Lesson 1䉬12]
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[Goal 3; Lesson 4䉬1]
Use multiplication diagrams to model
number stories involving equal groups.
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[Goal 4; Lesson 4䉬8]
Use multiplication strategies
to solve map-scale problems.
[Goal 4; Lesson 4䉬9]
Round whole numbers to easier
numbers. [Goal 5; Lesson 5 4]
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[Goal 2; Lesson 5䉬11]
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[Goal 3; Lesson 7䉬3]
Use multiplication facts to solve division facts.
[Goal 3; Lesson 7䉬3]
Use basic and extended addition and subtraction facts to
solve number sentences. [Goal 1; Lesson 7 4]
Use multiplication facts to solve number sentences.
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[Goal 6; Lesson 9䉬2]
[Goal 3; Lesson 7䉬6]
Make reasonable estimates
for problems involving
multiplication and repeated
addition. [Goal 5; Lesson 9 2]
Use arrays to model
multiplication.
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[Goal 3; Lesson 7䉬4]
Use multiplication facts. [Goal 3; Lesson 7 5]
Use multiplication facts to solve problems.
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[Goal 6; Lesson 9䉬8]
Use calculators to solve
problems involving the addition
and subtraction of whole
numbers. [Goal 2; Lesson 10 8]
Use addition and subtraction to
solve problems involving units
of time. [Goal 2; Lesson 11 1]
Find the difference between
high and low temperatures.
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Use addition facts to solve lattice multiplication problems.
[Goal 6; Lessons 9䉬3, 9䉬4]
[Goal 1; Lesson 9䉬9]
3; Lesson 7䉬6]
Share solution strategies for solving number stories.
[Goal 4; Lesson 7䉬6]
[Goal 4; Lesson 9䉬4]
Use multiplication facts to solve lattice multiplication
problems. [Goal 3; Lesson 9 9]
Explore a strategy for solving problems involving
multiplication of 1-digit by multidigit numbers.
[Goal 2; Lesson 2䉬8]
Use basic facts to solve division
problems. [Goal 3; Lesson 4 3]
Use equal sharing and equal grouping to
model division. [Goal 6; Lesson 4 3]
Use multiplication facts to solve division
problems. [Goal 3; Lesson 4 4]
Use arrays and diagrams to model
equal-sharing and equal-grouping
number stories. [Goal 6; Lesson 4 4]
Identify the quotient, dividend, divisor,
and remainder. [Goal 6; Lesson 4 4]
Practice multiplication facts.
Use the partial-products
algorithm to solve problems.
Solve addition number stories with three or more addends.
[Goal 3; Lesson 4䉬5]
[Goal 6; Lesson 9䉬12]
[Goal 2; Lesson 2䉬9]
Use Fact Triangles and the Facts Table
to generate multiplication and division
fact families. [Goal 3; Lesson 4 6]
Solve number stories involving the addition and
subtraction of positive and negative numbers.
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Use basic facts to solve extended fact problems with the partial-sums
algorithm. [Goal 1; Lesson 2 7]
Use base-10 blocks to extend the partial-sums algorithm to 3-digit
addends. [Goal 2; Lesson 2 7]
Make ballpark estimates as a check for reasonableness of answers.
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[Goal 5; Lessons 2䉬7, 2䉬8]
Use basic facts to solve extended fact problems involved in trade-first
subtraction. [Goal 1; Lesson 2 8]
Use base-10 blocks to model and solve subtraction problems.
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Use a parts-and-total diagram to solve addition number stories
involving three or more addends. [Goal 6; Lesson 2 9]
Use mental arithmetic and basic facts to find the measurement of
objects that are longer than a ruler. [Goal 2; Lesson 3 3]
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Calculate the cost of an item. [Goal 2; Lesson 7 7]
Discuss situations where it is sensible to make an
estimate and those where it is sensible to compute an
exact answer. [Goal 5; Lesson 7 7]
Use estimation strategies to solve number stories.
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Compute multiplication facts. [Goal 3; Lesson 9 10]
Use addition to add partial products.
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Use multiplication facts to calculate partial products.
Find products of multiples of 10. [Goal 3; Lesson 7 8]
Explore strategies to solve multiplication number stories.
[Goal 3; Lessons 9䉬11, 9䉬12]
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Use base-10 blocks and array models to find products of
2-digit by 2-digit multiples of 10. [Goal 6; Lesson 9 11]
Use base-10 blocks and arrays to model multiplication.
[Goal 4; Lesson 7䉬8]
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Use equal groups to solve problems. [Goal 6; Lesson 7 9]
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[Goal 2; Lesson 9䉬1
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Count by 1s and 10s from any
number. [Goal 1; Lesson 1 1]
Complete number sequences.
Use patterns in the Addition/Subtraction Facts Table to find basic
facts. [Goal 1; Lesson 2 1]
Use the turn-around rule (Commutative Property) for addition.
Use arrays to write number models to
find the area of rectangles.
[Goal 1; Lesson 1䉬1]
[Goal 4; Lesson 2䉬1]
Count by 10s and 1s.
Describe and extend patterns among facts and their extensions.
Develop the about 3 times circle rule
relating circumference and diameter.
[Goal 1; Lesson 1䉬2]
[Goal 1; Lesson 2䉬2]
[Goal 1; Lesson 3䉬9]
Describe patterns on number
grids and solve number-grid
puzzles. [Goal 1; Lesson 1 2]
Use a number grid to solve
problems. [Goal 1; Lesson 1 8]
Solve problems involving
number patterns.
Describe rules for patterns and use them to solve problems.
[Goal 1; Lesson 1䉬12]
[Goal 4; Lesson 2䉬9]
Patterns, Functions, and Algebra
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Review and complete Framesand-Arrows diagrams.
[Goal 1; Lesson 1䉬12]
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[Goal 1; Lesson 2䉬3]
Use the turn-around rule, the
Multiplicative Identity, and the
Zero Property of Multiplication
to generate multiplication facts.
Use the turn-around rule (Commutative Property of
Multiplication) to generate multiplication facts.
[Goal 4; Lesson 4䉬7]
[Goal 1; Lesson 7䉬2]
Write number sentences to model
number stories. [Goal 2; Lessons 4 2, 4 4]
Model the turn-around rule for
multiplication using an array model.
Explore the inverse relationship
between multiplication and
division. [Goal 2; Lesson 4 8]
Extend patterns in a placevalue chart to find digit values.
[Goal 4; Lesson 4䉬2]
[Goal 1; Lesson 5䉬3]
Describe and apply turn-around rule to generate
multiplication facts. [Goal 4; Lesson 7 2]
Solve “What’s My Rule?” problems. [Goal 1; Lesson 7 3]
Write number models with parentheses to match number
stories. [Goal 3; Lessons 7 4, 7 5]
Apply the Associative Property of Addition to solve
number sentences involving parentheses.
[Goal 2; Lesson 3䉬8]
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Describe rules and patterns in “What’s my Rule?” tables; use them to
solve addition and subtraction problems. [Goal 1; Lesson 2 3]
Write number models to summarize addition and subtraction number
stories. [Goal 2; Lessons 2 4, 2 5, 2 6]
Practice adding three or four numbers in a convenient order.
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Use arrays to represent turn-around
multiplication facts. [Goal 4; Lesson 4 5]
Identify patterns in skip counting by 2s,
5s, and 10s. [Goal 1; Lesson 4 5]
Use the turn-around rule, the
Multiplicative Identity, and the Zero
Property of Multiplication to generate
multiplication facts. [Goal 4; Lesson 4 5]
Look for patterns on the Facts Table.
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[Goal 4; Lesson 7䉬1]
Use patterning rules to find all
possible combinations of pants
and socks. [Goal 1; Lesson 8 3]
Identify patterns and
relationships between
numerators and denominators
of fractions. [Goal 1; Lesson 8 6]
Solve number sentences
involving the symbols 3, 4,
and 5. [Goal 1; Lesson 9 1]
Apply the Zero Property of
Multiplication to finding partial
products. [Goal 4; Lesson 9 4]
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Describe patterns in factors and products.
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[Goal 4; Lesson 7䉬4]
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Apply properties of multiplication and addition to solve
problems. [Goal 4; Lesson 7 5]
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[Goal 1; Lesson 4䉬6]
Explore the inverse relationship between
multiplication and division fact families.
[Goal 2; Lesson 4䉬6]
Apply the turn-around rule.
[Goal 4; Lesson 4䉬6]
The University of Chicago School Mathematics Project
Solve division problems using repeated subtraction.
[Goal 2; Lesson 9䉬8]
Describe number patterns. [Goal 1; Lesson 9 10]
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[Goal 2; Lesson 10䉬7]
Use addition and subtraction
facts to solve problems.
[Goal 1; Lesson 10䉬8]
Use mental arithmetic to add
and subtract numbers.
[Goal 2; Lesson 10䉬8]
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[Goal 2; Lesson 11䉬2]
[Goal 2; Lessons 9䉬11, 9䉬12]
[Goal 5; Lesson 7䉬7]
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[Goal 4; Lesson 9䉬9]
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Use multiplication facts to find
customary-unit equivalencies.
Add 2- and 3-digit numbers
with a calculator.
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Use multiplication facts to solve division problems. [Goal
[Goal 6; Lesson 2䉬6]
[Goal 3; Lesson 10䉬4]
Use multiplication facts to find whole-number factors of a
whole number. [Goal 3; Lesson 9 6]
Use arrays to model whole-number factors of a whole
number. [Goal 6; Lesson 9 6]
Solve equal-share division stories involving money
amounts. [Goal 6; Lesson 9 7]
Interpret calculator displays for remainders in equalsharing and equal-grouping problems. [Goal 6; Lesson 9 8]
Use equal sharing to solve division number stories.
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6; Lesson 4䉬2]
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Use addition and subtraction
facts to complete Frames-andArrows diagrams.
Use arrays to find the area of
rectangles. [Goal 6; Lesson 3 7]
Use multiplication facts to find the area
of rectangles. [Goal 3; Lesson 3 8]
Draw and use arrays to find the area of
rectangles. [Goal 6; Lesson 3 8]
Use facts to solve multiplication stories.
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Grade 3 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 up to 1,000,000; read, write, and model with
manipulatives decimals through hundredths; identify places in such numbers and
the values of the digits in those places; translate between whole numbers and
decimals represented in words, in base-10 notation, and with manipulatives.
Goal 2: Read, write, and model fractions; solve problems involving fractional parts of a
region or a collection; describe strategies used.
Goal 3: Find multiples of 2, 5, and 10.
Goal 1: Demonstrate automaticity with all addition and subtraction facts through
10 ⫹ 10; use basic facts to compute fact extensions such as 80 ⫹ 70.
Goal 2: Use manipulatives, mental arithmetic, paper-and-pencil algorithms, and
calculators to solve problems involving the addition and subtraction of whole
numbers and decimals in a money context; describe the strategies used and
explain how they work.
Goal 3: Demonstrate automaticity with ⫻ 0, ⫻ 1, ⫻ 2, ⫻ 5, and ⫻ 10 multiplication facts;
use strategies to compute remaining facts up to 10 ⫻ 10.
Goal 4: Use arrays, mental arithmetic, paper-and-pencil algorithms, and calculators to solve
problems involving the multiplication of 2- and 3-digit whole numbers by 1-digit
whole numbers; describe the strategies used.
Understand equivalent names for numbers.
Goal 4: Use numerical expressions involving one or more of the basic four arithmetic
operations to give equivalent names for whole numbers.
Goal 5: Use manipulatives and drawings to find and represent equivalent names for
fractions; use manipulatives to generate equivalent fractions.
Make reasonable estimates.
Goal 5: Make reasonable estimates for whole number addition and subtraction problems;
explain how the estimates were obtained.
Understand common numerical relations.
Goal 6: Compare and order whole numbers up to 1,000,000; use manipulatives to order
decimals through hundredths; use area models and benchmark fractions to
compare and order fractions.
Measurement and Reference Frames
Goal 1: Collect and organize data or use given data to create charts, tables, bar graphs, and
line plots.
Analyze and interpret data.
Goal 2: Use graphs to ask and answer simple questions and draw conclusions;
find the maximum, minimum, range, mode, and median of a data set.
Understand and apply basic concepts of probability.
Goal 3: Describe events using certain, very likely, likely, unlikely, very unlikely, impossible,
and other basic probability terms; explain the choice of language.
Goal 4: Predict the outcomes of simple experiments and test the predictions using
manipulatives; express the probability of an event by using “__ out of __” language.
Goal 6: Recognize and describe change, comparison, and parts-and-total situations; use
repeated addition, arrays, and skip counting to model multiplication; use equal
sharing and equal grouping to model division.
Geometry
Investigate characteristics and properties of 2- and 3-dimensional
geometric shapes.
Goal 1: Estimate length with and without tools; measure length to the nearest _12 inch and _12
centimeter; draw and describe angles as records of rotations.
Goal 1: Identify and draw points, intersecting and parallel line segments and lines, rays, and
right angles.
Goal 2: Describe and use strategies to measure the perimeter of polygons; count unit
squares to find the areas of rectangles.
Goal 3: Describe relationships among inches, feet, and yards; describe relationships
between minutes in an hour, hours in a day, days in a week.
Goal 2: Identify, describe, model, and compare plane and solid figures including circles,
polygons, spheres, cylinders, rectangular prisms, pyramids, cones, and cubes using
appropriate geometric terms including the terms face, edge, vertex, and base.
Apply transformations and symmetry in geometric situations.
Goal 4: Tell and show time to the nearest minute on an analog clock; tell and write time in
digital notation.
Select and create appropriate graphical representations of collected or
given data.
Understand meanings of operations.
Understand the systems and processes of measurement; use appropriate
techniques, tools, units, and formulas in making measurements.
Use and understand reference frames.
Data and Chance
Goal 3: Create and complete 2-dimensional symmetric shapes or designs; locate multiple
lines of symmetry in a 2-dimensional shape.
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; use words and symbols to describe and write rules for
functions involving addition, subtraction, and multiplication and use those rules to
solve problems.
Use algebraic notation to represent and analyze situations and structures.
Goal 2: Read, write, and explain number sentences using the symbols ⫹, ⫺, ⫻, ⫼, ⫽,
⬎, and ⬍; solve number sentences; write expressions and number sentences
to model number stories.
Goal 3: Recognize that numeric expressions can have different values depending on the
order in which operations are carried out; understand that grouping symbols can be
used to affect the order in which operations are carried out.
Goal 4: Describe and apply the Commutative and Associative Properties of Addition, the
Commutative Property of Multiplication, and the Multiplicative Identity.
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.