M04.A-T: Numbers and Operations in Base Ten

M04.A-T.1: Generalize place-value understanding for multi-digit whole numbers.

M04.A-T.1.1: Apply place-value and numeration concepts to compare, find equivalencies, and round.

M04.A-T.1.1.1: Demonstrate an understanding that in a multi-digit whole number (through 1,000,000), a digit in one place represents ten times what it represents in the place to its right.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Rounding Whole Numbers (Number Line)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

M04.A-T.1.1.2: Read and write whole numbers in expanded, standard, and word form through 1,000,000.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

M04.A-T.1.1.3: Compare two multi-digit numbers through 1,000,000 based on meanings of the digits in each place, using >, =, and < symbols.

Cannonball Clowns (Number Line Estimation)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Whole Numbers with Base-10 Blocks

M04.A-T.1.1.4: Round multi-digit whole numbers (through 1,000,000) to any place.

Rounding Whole Numbers (Number Line)

M04.A-T.2: Use place-value understanding and properties of operations to perform multi-digit arithmetic.

M04.A-T.2.1: Use operations to solve problems.

M04.A-T.2.1.1: Add and subtract multi-digit whole numbers (limit sums and subtrahends up to and including 1,000,000).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Cargo Captain (Multi-digit Subtraction)
Number Line Frog Hop (Addition and Subtraction)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Target Sum Card Game (Multi-digit Addition)
Whole Numbers with Base-10 Blocks

M04.A-T.2.1.2: Multiply a whole number of up to four digits by a one-digit whole number and multiply 2 two-digit numbers.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)

M04.A-T.2.1.3: Divide up to four-digit dividends by one-digit divisors with answers written as whole-number quotients and remainders.

No Alien Left Behind (Division with Remainders)
Pattern Flip (Patterns)

M04.A-T.2.1.4: Estimate the answer to addition, subtraction, and multiplication problems using whole numbers through six digits (for multiplication, no more than 2 digits × 1 digit, excluding powers of 10).

Adding Whole Numbers and Decimals (Base-10 Blocks)
Critter Count (Modeling Multiplication)
Multiplying Decimals (Area Model)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)

M04.A-F: Numbers and Operations—Fractions

M04.A-F.1: Extend understanding of fraction equivalence and ordering.

M04.A-F.1.1: Find equivalencies and compare fractions.

M04.A-F.1.1.1: Recognize and generate equivalent fractions.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

M04.A-F.1.1.2: Compare two fractions with different numerators and different denominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100) using the symbols >, =, or < and justify the conclusions.

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

M04.A-F.2: Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

M04.A-F.2.1: Solve problems involving fractions and whole numbers (straight computation or word problems).

M04.A-F.2.1.1: Add and subtract fractions with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; answers do not need to be simplified; and no improper fractions as the final answer).

Adding Fractions (Fraction Tiles)
Fraction Artist 2 (Area Models of Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)

M04.A-F.2.1.2: Decompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Justify decompositions (e.g., by using a visual fraction model).

Adding Fractions (Fraction Tiles)
Equivalent Fractions (Fraction Tiles)
Factor Trees (Factoring Numbers)
Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)
Fraction Garden (Comparing Fractions)
Fractions Greater than One (Fraction Tiles)
Modeling Fractions (Area Models)
Toy Factory (Set Models of Fractions)

M04.A-F.2.1.3: Add and subtract mixed numbers with a common denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100; no regrouping with subtraction; fractions do not need to be simplified; and no improper fractions as the final answers).

Fractions Greater than One (Fraction Tiles)

M04.A-F.2.1.4: Solve word problems involving addition and subtraction of fractions referring to the same whole or set and having like denominators (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100).

Fraction Artist 1 (Area Models of Fractions)
Fraction Artist 2 (Area Models of Fractions)

M04.A-F.2.1.6: Multiply a whole number by a non-unit fraction (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100 and final answers do not need to be simplified or written as a mixed number).

Factor Trees (Factoring Numbers)

M04.A-F.3: Understand decimal notation for fractions and compare decimal fractions.

M04.A-F.3.1: Use operations to solve problems involving decimals, including converting between fractions and decimals (may include word problems).

M04.A-F.3.1.2: Use decimal notation for fractions with denominators 10 or 100.

Fraction, Decimal, Percent (Area and Grid Models)
Modeling Decimals (Area and Grid Models)

M04.A-F.3.1.3: Compare two decimals to hundredths using the symbols >, =, or <, and justify the conclusions.

Adding Whole Numbers and Decimals (Base-10 Blocks)
Modeling Decimals (Area and Grid Models)
Modeling Whole Numbers and Decimals (Base-10 Blocks)
Subtracting Whole Numbers and Decimals (Base-10 Blocks)
Treasure Hunter (Decimals on the Number Line)

M04.B-O: Operations and Algebraic Thinking

M04.B-O.1: Use the four operations with whole numbers to solve problems.

M04.B-O.1.1: Use numbers and symbols to model the concepts of expressions and equations.

M04.B-O.1.1.1: Interpret a multiplication equation as a comparison. Represent verbal statements of multiplicative comparisons as multiplication equations.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)
Multiplying Decimals (Area Model)

3.1.1.1.1: Interpret 35 = 5 × 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5.

Chocomatic (Multiplication, Arrays, and Area)
Critter Count (Modeling Multiplication)
Factor Trees (Factoring Numbers)

M04.B-O.1.1.2: Multiply or divide to solve word problems involving multiplicative comparison, distinguishing multiplicative comparison from additive comparison.

Critter Count (Modeling Multiplication)
No Alien Left Behind (Division with Remainders)
Using Algebraic Equations

M04.B-O.1.1.3: Solve multi-step word problems posed with whole numbers using the four operations. Answers will be either whole numbers or have remainders that must be interpreted yielding a final answer that is a whole number. Represent these problems using equations with a symbol or letter standing for the unknown quantity.

Cannonball Clowns (Number Line Estimation)
Cargo Captain (Multi-digit Subtraction)
No Alien Left Behind (Division with Remainders)
Number Line Frog Hop (Addition and Subtraction)

M04.B-O.2: Gain familiarity with factors and multiples.

M04.B-O.2.1: Develop and apply number theory concepts to represent numbers in various ways.

M04.B-O.2.1.1: Find all factor pairs for a whole number in the interval 1 through 100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the interval 1 through 100 is a multiple of a given one-digit number. Determine whether a given whole number in the interval 1 through 100 is prime or composite.

Chocomatic (Multiplication, Arrays, and Area)
Factor Trees (Factoring Numbers)
Pattern Flip (Patterns)

M04.B-O.3: Generate and analyze patterns.

M04.B-O.3.1: Recognize, describe, extend, create, and replicate a variety of patterns.

M04.B-O.3.1.1: 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.

Finding Patterns
Function Machines 1 (Functions and Tables)
Pattern Flip (Patterns)

M04.B-O.3.1.2: Determine the missing elements in a function table (limit to +, –, or × and to whole numbers or money).

Function Machines 1 (Functions and Tables)

M04.B-O.3.1.3: Determine the rule for a function given a table (limit to +, –, or × and to whole numbers).

Function Machines 1 (Functions and Tables)

M04.C-G: Geometry

M04.C-G.1: Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

M04.C-G.1.1: List properties, classify, draw, and identify geometric figures in two dimensions.

M04.C-G.1.1.1: Draw points, lines, line segments, rays, angles (right, acute, and obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

City Tour (Coordinates)
Classifying Quadrilaterals
Elevator Operator (Line Graphs)

M04.C-G.1.1.2: 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.

Classifying Quadrilaterals
Classifying Triangles
Parallelogram Conditions

M04.C-G.1.1.3: Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into mirroring parts. Identify line-symmetric figures and draw lines of symmetry (up to two lines of symmetry).

Quilting Bee (Symmetry)

M04.D-M: Measurement and Data

M04.D-M.1: Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit.

M04.D-M.1.1: Solve problems involving length, weight (mass), liquid volume, time, area, and perimeter.

M04.D-M.1.1.1: Know relative sizes of measurement units within one system of units including standard units (in., ft, yd, mi; oz., lb; and c, pt, qt, gal), metric units (cm, m, km; g, kg; and mL, L), and time (sec, min, hr, day, wk, mo, and yr). Within a single system of measurement, express measurements in a larger unit in terms ofa smaller unit. A table of equivalencies will be provided.

Cannonball Clowns (Number Line Estimation)

M04.D-M.1.1.2: Use the four operations to solve word problems involving distances, intervals of time (such as elapsed time), liquid volumes, masses of objects; money, including problems involving simple fractions or decimals; and problems that require expressing measurements given in a larger unit in terms of a smaller unit.

Elapsed Time
Road Trip (Problem Solving)

M04.D-M.1.1.3: Apply the area and perimeter formulas for rectangles in real-world and mathematical problems (may include finding a missing side length). Whole numbers only. The formulas will be provided.

Chocomatic (Multiplication, Arrays, and Area)

M04.D-M.2: Represent and interpret data.

M04.D-M.2.1: Organize, display, and answer questions based on data.

M04.D-M.2.1.3: Translate information from one type of display to another (table, chart, bar graph, or pictograph).

Forest Ecosystem
Reaction Time 1 (Graphs and Statistics)

M04.D-M.3: Geometric measurement: understand concepts of angle; measure and create angles.

M04.D-M.3.1: Use appropriate tools and units to sketch an angle and determine angle measurements.

M04.D-M.3.1.2: Solve addition and subtraction problems to find unknown angles on a diagram in real-world and mathematical problems. (Angles must be adjacent and non-overlapping.)

Polygon Angle Sum