Unit 1
Unit 1
Building Mathematical Community & Understanding Equal Groups
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In this unit, students will begin exploring multiplication and division concepts. To help students understand the concepts of multiplication and division, they will learn different strategies, including equal groups, skip counting, repeated addition, arrays, and the Commutative Property of Multiplication.
Students will be able to...
Write a multiplication equation to represent story problems
Use pictures, arrays, equal groups, and repeated addition to model story problems
Identify patterns of multiplication.
Multiplication symbol (x) means “groups of” (ex. 4 x 2 means 4 groups of 2)
Vocabulary: Equal Groups, Multiplication, Array, Skip Count, Factors, Related Facts, Repeated Addition, Patterns, Product, Commutative Property of Multiplication
Vocabulary: Equal Groups, Multiplication, Array, Skip Count, Factors, Related Facts, Repeated Addition, Patterns, Product, Commutative Property of Multiplication
The focus of this unit is on interpreting scaled picture graphs and bar graphs by answering specific questions, including comparison questions, about a data set. Students will also use a frequency table to generate scaled picture graphs and bar graphs while working with up to four categories of data. This work includes solving problems that involve addition and subtraction, which allows students to strengthen and apply what they are learning.
Students will be able to...
Collect data with up to four categories by asking questions
Organize data into frequency tables
Represent data collected by constructing a scaled picture graph and/or a scaled bar graph
Analyze and interpret data from a graph
Solve one- and two-step problems using data presented in scaled picture graphs and/or scaled bar graphs using addition and subtraction
Comparison problems include: How many more? How many less/fewer?
Vocabulary: Data, Axes, Picture Graph, Scale, Bar Graph, Horizontal, Frequency Table, Vertical, Key
Vocabulary: Data, Axes, Picture Graph, Scale, Bar Graph, Horizontal, Frequency Table, Vertical, Key
The focus of this unit is on addition and subtraction within 1000. Students focus on understanding and applying strategies, such as place value blocks, place value drawings, expanded form/method, and numbers lines to add and subtract numbers up to and including 1,000. Throughout the unit, students will use these operations within the context of one and two step story problems. They will also develop an understanding of how place value can then be used to round numbers. Rounding and other estimating strategies will help students have a better understanding of the reasonableness of their final answers when finding a solution to a math problem.
Students will be able to...
Use expanded form to decompose numbers to solve addition and subtraction problems (i.e. 435 = 400 + 30 + 5)
Apply the relationship between addition and subtraction to solve problems
Solve two-step word problems using addition and subtraction
Vocabulary: Addition, Place Value, Expression, Difference, Decompose, Number line, Value, Estimation, Actual, Operation, Lesser, Addend, Equation, Rate of Ten, Ungroup, Subtotals, Precision, Rounding, Exact, Symbol, Compare, Situation, Sum, Unknown, Subtraction, More, Expanded Form, Partition, Inverse Operation, About, Comparison, Relationship, Add to/Take from, Regroup, Place Value Drawing, Missing Addend, Fewer, Expanded Method, Greater, Nearest Multiple, Reasonable, Put Together/Take Apart, Compensate and Combine Strategies
Vocabulary: Addition, Place Value, Expression, Difference, Decompose, Number line, Value, Estimation, Actual, Operation, Lesser, Addend, Equation, Rate of Ten, Ungroup, Subtotals, Precision, Rounding, Exact, Symbol, Compare, Situation, Sum, Unknown, Subtraction, More, Expanded Form, Partition, Inverse Operation, About, Comparison, Relationship, Add to/Take from, Regroup, Place Value Drawing, Missing Addend, Fewer, Expanded Method, Greater, Nearest Multiple, Reasonable, Put Together/Take Apart, Compensate and Combine Strategies
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