Each unit in Aha!Math involves interactive, technology-based lessons, games, and activities that students find interesting and relevant. They grasp the how and why of the mathematical concepts they are learning, and understand how to apply that learning in a variety of contexts. This chart lists the units in Aha!Math and the objectives covered in each.
| Unit and Objectives Covered |
K |
1 |
2 |
3 |
4 |
5 |
6 |
Understanding Whole Numbers to 20
- Introduction to numbers, numerals and sets
- Count, compare and order sets
- Join and separate sets of 20 or less
- Quick recognition of numbers and numerals
|
K |
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Shapes and Space
- Names and descriptions of shapes and solids
- Describe orientation and position
- Compare shapes to determine size
- Explore composition and decomposition of shapes
|
K |
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Comparing Lengths and Time
- Measurable attributes of space and time
- Direct and indirect methods to measure, compare and sequence shapes
|
K |
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Understanding Addition and Subtraction - Facts to 18
- Variety of models to learn basic addition and subtraction facts through 18
- Commutative and associative properties
- Relationship between commutative and associative properties
|
K |
1st |
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Place Value - Ones and Tens
- Place value
- Compare and order numbers up to 100
|
|
1st |
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Pieces of Shapes
- Use composition and decomposition to learn about properties of shapes and solids
- Concepts of congruence and symmetry
|
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1st |
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Understanding Numbers to 1000
- Place value for numbers through 1000
- Compose, decompose, compare and order whole numbers
- Extend to numbers with four to six digits
|
|
1st |
2nd |
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Addition and Subtraction of Multi-Digit Numbers
- Add and subtract larger numbers, both with and without regrouping
- Introduces estimation as a tool for verifying accuracy of answers
- Foundation for multiplication of numbers
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2nd |
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Linear Measurement
- Develop fluency with measuring length using standard and non-standard units
- Solve problems involving measuring length
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2nd |
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Multiplication and Facts to 10
- Introduction to multiplication as a way to count objects arranged in equal sets
- Developing fluency with basic multiplication facts from 0 x 0 to 10 x 10
- Commutative property and the relationship between multiplication and division
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3rd |
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Fractions
- Introduction of fractions through pictorial models
- Becoming familiar with common fractions
- Equivalent fractions
- Writing and recognizing improper and mixed fractions
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3rd |
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2-D Shapes and Transformations
- Elementary geometry
- Common shapes and their properties
- Congruence and similarity
- Line symmetry and transformations
- Rudiments of area on the plane
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3rd |
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Multiplication Facts - 11 and 12
Multiplication Algorithm
- Introduction of the distributive property
- Develop and practice the algorithm for multiplying large numbers
- Estimation with multiplication
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3rd |
4th |
|
|
Decimals and Fractions
- Decimals as an extension of place value
- Relationship to fractions in denoting quantities less than a whole
- Comparing, ordering, rounding and estimating decimals
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4th |
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2-D Shapes and Area
- Measure area with unit squares
- Extend knowledge to calculating area of common shapes using multiplication
- Finding area
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4th |
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Whole Number Division
- Review of relationship between division and multiplication
- Long division algorithm up to two-digits
- Estimation, divisibility, factors and multiples
- Division with remainders
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4th |
5th |
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Adding and Subtracting Fractions and Decimals
- Addition and subtraction of fractions with like and unlike denominators and mixed numbers
- Addition and subtraction of decimals
- Estimation
- Connection between operations on fractions and operations on decimals
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5th |
|
3-D Shapes, Including Surface Area and Volume
- Types of 3-D solids and how to calculate surface area of prisms
- Calculate volumes of cubes, prisms, and more complicated single and composite solids
- Learn strategies for estimating volume
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5th |
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Multiplication and Division of Fractions and Decimals
- Strategies and techniques used to multiply and divide by fractions and decimals
- Application of the number pi
- Techniques to multiply by decimals to find the circumference and area of a circle and the volume of a cylinder.
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5th |
6th |
