Mathematics

Number and Operations in Base Ten - Students will:

Perform operations with multi-digit whole numbers and with decimals to hundredths.

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method, and explain the reasoning used.

Geometry and Measurement

Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

Compute elapsed time to the minute.

Activity Lesson Elapsed TimeGrade 4

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to add and subtract.

Given a two-digit number, mentally find 10 more or 10 less than the number without having to count; explain the reasoning used.

Number and Operations in Base Ten - Students will:

Understand place value.

Count within 1000; skip-count by 5s, 10s, and 100s.

Number and Operations in Base Ten - Students will:

Understand place value.

Count within 1000; skip-count by 5s, 10s, and 100s.

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to add and subtract.

Given a two-digit number, mentally find 10 more or 10 less than the number without having to count; explain the reasoning used.

Number and Operations in Base Ten - Students will:

Generalize place value understanding for multi-digit whole numbers.

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.

Number and Operations in Base Ten - Students will:

Understand place value.

Count within 1000; skip-count by 5s, 10s, and 100s.

Ratios and Proportional Relationships – Students will:

Analyze proportional relationships and use them to solve real-world and mathematical problems.

Recognize and represent proportional relationships between quantities.

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Worksheet In-and-Out BoxGrade 7

Data Analysis, Probability, and Discrete Mathematics

Data Analysis (Statistics): Understand and apply data collection, organization, and representation to analyze and sort data.

Solve problems by selecting, constructing, and interpreting displays of data, including histograms and stem-and-leaf plots.

Counting and Cardinality

Know ordinal names and counting flexibility.

Use ordinal numbers correctly when identifying object position (e.g., first, second, third, etc.).

Ratios and Proportional Relationships – Students will:

Analyze proportional relationships and use them to solve real-world and mathematical problems.

Recognize and represent proportional relationships between quantities.

Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to perform multi-digit arithmetic.

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to perform multi-digit arithmetic.

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.

Operations and Algebraic Thinking - Students will:

Use the four operations with whole numbers to solve problems.

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. (See Appendix A, Table 2.)

Number and Operations

Number Sense: Understand and apply numbers, ways of representing numbers, and the relationships among numbers and different number systems.

Determine equivalence by converting between benchmark fractions, decimals, and percents.

The Number System – Students will:

Apply and extend previous understandings of multiplication and division to divide by fractions.

Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem.

Geometry and Measurement

Measurement: Understand and apply appropriate units of measure, measurement techniques, and formulas to determine measurements.

Solve problems involving perimeter of 2-dimensional figures and area of rectangles.

The Number System – Students will:

Apply and extend previous understandings of multiplication and division to divide by fractions.

Interpret and compute quotients of fractions, and solve word problems involving division of fractions, e.g., by using visual fraction models and equations to represent the problem.

Number and Operations in Base Ten - Students will:

Use place value understanding and properties of operations to perform multi-digit arithmetic.

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.