Grade 4 Curriculum Map

PA Math Core

Grade 4 Curriculum Map

PA Math Core

Grade 4 Curriculum Map

Prioritized Math Standards

A-T NUMBERS & OPERATIONS IN BASE TEN

I can apply place-value concepts to show an understanding of multi-digit whole numbers within 1,000,000.

I can use place value and properties of operations to add and subtract multi-digit whole numbers.

I can use place value and properties of operations to multiply and divide multi-digit whole numbers.

A-F NUMBERS & OPERATIONS - FRACTIONS

I can recognize and generate equivalent fractions.

I can apply an understanding of equivalence to compare and order fractions. I can build fractions (and mixed numbers) using unit fractions by applying previous understanding of whole number operations.

I can apply an understanding of decimal fractions to add unlike fractions and compare decimals.

B-O OPERATIONS & ALGEBRAIC THINKING

I can represent and solve word problems involving whole numbers and the four operations. I can generate and analyze patterns.

I can find factors and multiples of numbers within 100. I can demonstrate fluency with multiplication and division facts.

C-G GEOMETRY

I can draw and identify lines and angles, as well as classify two-dimensional figures by the properties of these features.

D-M MEASUREMENT & DATA

I can solve problems involving measurement and conversions from a larger unit to a smaller unit.

I can represent and interpret data using tables, graphs, and line plots. I can measure angles and solve problems involving adjacent angles.

MATHEMATICAL PRACTICES

I can make sense of problems.

I can effectively model my mathematical thinking. I can solve problems with precision and persevere. I can justify my thinking and critique the reasoning of others.

Instructional Resources

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Bridges in Mathematics, Contents

Unit 1_{​ Multiplicative Thinking}

Unit 2_{​ Multi-Digit Multiplication & Early Division} Unit 3_{​ Fractions & Decimals}

Unit 4_{​ Addition, Subtraction, & Measurement} Unit 5_{​ Geometry & Measurement}

Unit 6_{​ Multiplication & Division, Data & Fractions} Unit 7_{​ Reviewing & Extending Fractions, Decimals,} & Multi-Digit Multiplication

Bridges Unit 1 -- Multiplicative Thinking

Overview _{​Unit 1 begins the year with a study of multiplication} and division, focusing in particular on models, strategies and multiplicative comparisons. Students review strategies for finding single-digit multiplication facts.

M1_{​ Models for Multiplication & Division} M2_{​ Primes & Composites}

M3_{​ Multiplicative Comparisons & Equations} M4_{​ Measurement Experiences}

Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- September

Overview _{​Students become familiar with the routines of each} Number Corner workout, while reviewing and extending skills and concepts addressed in G3 and exploring those new to G4. Students review multiplication facts, work with multiples of 10, think about factors and multiples, and work on strategies for multiplication with larger numbers. The Number Corner Baseline Assessment is also administered.

Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

Bridges Unit 2 --

Multi-Digit Multiplication & Early Division

Overview _{​In Unit 2, students continue to build multiplicative} reasoning as they work with multi-digit multiplication and early division concepts. Students work with base ten area pieces, arrays, and ratio tables. Multiplication story problems are explored.

M1_{​ Building Multiplication Arrays} M2_{​ Arrays & Ratio Tables}

M3_{​ Multiplication Stories & Strategies} M4_{​ Early Division with Remainders} Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- October

Overview _{​Students will focus on key Fourth Grade skills and} concepts including analyzing patterns, measurement and fractions, work with numbers in base ten, multi-digit

multiplication, and multi-step story problems. The first Number Corner Checkup is administered.

Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

Bridges Unit 3 -- Fractions and Decimals

Overview _{​In Unit 3, students work with a variety of tools to model,}

read, write, compare, order, compose, and decompose fractions and decimals.

M1_{​ Equivalent Fractions}

M2_{​ Comparing, Composing, & Decomposing Fractions}

and Mixed Numbers

M3_{​ Introducing Decimals}

M4_{​ Fractions and Decimals}

Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- November

Overview _{​Students will focus on measuring, calculating with time,}

making conversions, identifying patterns, multiples and factors, ordering and comparing numbers, adding multi-digit numbers, and making multiplicative comparisons.

**Note on Pacing: _{​3 weeks (only 15 sessions)}

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Number Corner -- December

Overview _{​Students will explore congruence, symmetry, and parallel}

and perpendicular lines in figures. They will also focus on adding and subtracting multi-digit numbers.

**Note on Pacing: _{​3 weeks (only 15 sessions)}

Expectations for Student Learning

Bridges Unit 4 -- Addition, Subtraction, & Measurement

Overview _{​In Unit 4, students work with the standard addition} and subtraction algorithms, comparing them to other solution methods. Students also explore (and solve problems with) measurement units of length, liquid volume, time, mass, and weight. Unit conversions are also explored.

M1_{​ Place Value & the Standard Addition Algorithm} M2_{​ The Standard Subtraction Algorithm}

M3_{​ Measurement}

M4_{​ Measurement & Data Displays} Pacing: _{​4 weeks (20 sessions)}

---Number Corner -- January

Overview _{​Students will focus on division strategies and} consider various division situations/contexts. They will also explore geometric shapes (and scaling), as well as work with fractions. A Number Corner Checkup is also planned. Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

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Bridges Unit 5 -- Geometry & Measurement

Overview _{​In Unit 5, students are formally introduced to several} new geometric concepts, including angles and angle measure, parallel and perpendicular lines, and reflective symmetry. Work with the area and perimeter of rectangles is also done.

M1_{​ Measuring Angles} M2_{​ Polygons & Symmetry} M3_{​ Area & Perimeter} M4_{​ Angles in Motion}

Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- February

Overview _{​Students will explore angles, lines, and polygons.} Workouts also focus on composing/decomposing fractions and adding and subtracting fractions. Decimals and fraction-decimal equivalency is explored, as well equations for multi-step

problems.

Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

Bridges Unit 6 -- Multiplication & Division,

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Data & Fractions

Overview _{​The instruction in Unit 6 is designed to help students} understand the many connections between multiplication and division through a variety of contexts.

M1_{​ Multiplication & Division Strategies} M2_{​ Revisiting Area & Perimeter} M3_{​ Line Plots, Fractions, & Division} M4_{​ More Division}

Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- March

Overview _{​Students focus on four workouts involving fractions} and decimals. They will explore patterns and functions. The third Number Corner Checkup is also administered.

Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

Bridges Unit 7 -- Reviewing & Extending Fractions,

Decimals, & Multi-Digit Multiplication

Overview _{​Unit 7 reviews and extends skills and concepts that} are considered foundational to the work of Grade 4. Students work with equivalent fractions and compare fractions using a variety of methods. Students also extend multiplication strategies while exploring the standard algorithm.

M1_{​ Comparing Fractions and Writing Equivalent Fractions} M2_{​ Decimals and Decimal Fractions}

M3_{​ Introducing the Standard Multiplication Algorithm} M4_{​ Extending the Standard Multiplication Algorithm} Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- April

Overview _{​Students focus on a wide variety of games and} activities designed to extend their understanding of and proficiency with many important Fourth Grade skills and concepts.

Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

Bridges Unit 8 -- Playground Design

Overview _{​Unit 8, the final unit of the year, sees students} designing and building scaled model playgrounds that incorporate simple machines. Aspects of data collection, research, and measurement are also incorporated into this extended project-based experience.

M1_{​ Introducing Playground Design} M2_{​ Making Decisions}

M3_{​ Using Scale Models for Our Playground & Field} M4_{​ Building Model Playgrounds}

Pacing: _{​4 weeks (20 sessions)}

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Number Corner -- May

Overview _{​The games and activities in May help students} deepen their understanding of grade-level concepts while also affording students opportunities to explore Fifth Grade content. The fourth Number Corner Checkup is also administered. Pacing: _{​4 weeks (20 sessions)}

Expectations for Student Learning

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