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Unit 1 Outline: Place Value, Multidigit Addition and Subtraction
Lesson 1.1: Place Value in Whole Numbers
Overview
Students work with place value in whole numbers through hundred-thousands
Vocabulary:
CCSS:
4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Lesson 1.2: Place Value Concepts
Overview
Students record numbers in expanded form and compare numbers through the hundred-thousands.
Vocabulary:
CCSS:
4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Lesson 1.3: Rounding Numbers
Overview
Students learn procedures for rounding numbers through hundred-thousands.
Vocabulary:
CCSS:
4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
Lesson 1.4: Introduction to the Reference Book
Overview
Students are introduced to the Student Reference Book (SRB) and continue place-value work.
Vocabulary:
millions
CCSS:
4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Lesson 1.5: Estimation Strategy
Overview
Students explore different ways to estimate.
Vocabulary:
CCSS:
4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Lesson 1.6: Guide to Solving Number Stories
Overview
Students practice solving multistep number stories involving addition and subtraction.
Vocabulary:
CCSS:
4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Lesson 1.7: U.S. Traditional Addition
Overview
Students are introduced to U.S. traditional addition.
Vocabulary:
CCSS:
4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Lesson 1.8: Cracking the Muffin Code (critical thinking problem solving)
Overview
Day 1: Students solve a problem about codes based on place-value structures.
Day 2: Students discuss some solutions and the similarities between the codes and the base-10 place-value, and then they revise their work.
Vocabulary:
CCSS:
4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.
4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
Lesson 1.9: U.S. Traditional Subtraction
Overview
Students are introduced to U.S. traditional subtraction.
Vocabulary:
CCSS:
4.OA.3: Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
Lesson 1.10: U.S. Customary Units of Length
Overview
Students convert between yards, feet, and inches.
Vocabulary:
convert
CCSS:
4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.MD.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
Lesson 1.11: Points, Line Segements, Lines and Rays
Overview
Students explore properties of points, line segments, lines, and rays.
Vocabulary:
parallel line
parallel line segement
parallel ray
CCSS:
4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
Lesson 1.12: Angles, Triangles, and Quadrilaterals
Overview
Students learn properties of angles, triangles, and quadrilaterals.
Vocabulary:
CCSS:
4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.
4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
Lesson 1.13: Finding Perimeters of Squares and Rectangles
Overview
Students develop a formula for finding the perimeter of a rectangle.
Vocabulary:
width
CCSS:
4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.
4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digitnumbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
4.MD.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.
4.MD.3:Apply the area and perimeter formulas for rectangles in real world and mathematical problems.
4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.
