Curriculum Connection
K-5 Math-May 2021
Math Norms
Kindergarten Math
Topic 11: Count Numbers to 100Topic 11 concludes the development of the count sequence in kindergarten. Students counted to 5, 10, and then 20 in Topics 1, 3, and 9. This topic focuses on extending the number names and counting up to 100. Students learn about verbal and written patterns in the counting sequence, and they count by ones and by tens, beginning from any number. Throughout Topic 11, the visual clues on a hundred chart help students count to 100. The columns showing counting by tens, and the rows show counting by ones. | Topic 11: Count Objects Students see that they can easily count up to 100 objects if the objects are arranged in groups of 10. They count by tens to find how many. | Topic 14: Describe and Compare Measurable AttributesTopic 14 introduces measurement by teaching students that objects can be directly compared by length, height, capacity, or weight. Students learn that objects can be described by measurable attributes and that some objects can be described by more than one measurable attribute. They describe the length or height of objects as a whole number of units. |
Topic 11: Count Numbers to 100
Topic 11 concludes the development of the count sequence in kindergarten. Students counted to 5, 10, and then 20 in Topics 1, 3, and 9. This topic focuses on extending the number names and counting up to 100. Students learn about verbal and written patterns in the counting sequence, and they count by ones and by tens, beginning from any number. Throughout Topic 11, the visual clues on a hundred chart help students count to 100. The columns showing counting by tens, and the rows show counting by ones.
Topic 11: Count Objects
Topic 14: Describe and Compare Measurable Attributes
Topic 14 introduces measurement by teaching students that objects can be directly compared by length, height, capacity, or weight. Students learn that objects can be described by measurable attributes and that some objects can be described by more than one measurable attribute. They describe the length or height of objects as a whole number of units.
1st Grade Math
Topic 14: Reason with Shapes and Their Attributes- 2D Shapes In Topic 14, students identify attributes of 2D shapes: number of sides, number of vertices, and being closed. Students focus on the difference between defining and non-defining attributes of a shape. A defining attribute of a particular shape is always true for that shape; a non-defining attribute may or may not be true. Students use defining attributes to build and draw shapes. They also create composite shapes by putting together some shapes. | Topic 14: Reason with Shapes and Their Attributes- 3D Shapes Students identify attributes of 3D shapes: number of faces, number of vertices, number of edges, and type of shape for faces. Students distinguish between some defining attributes of shapes, such as all cubes have 6 square faces, and non-defining attributes, such as color, size, and orientation. | Topic 15: Equal Shares of Circles and Rectangles Topic 15 begins a conceptual foundation for fractions. Students partition circles and rectangles into 2 or 4 parts that show equal shares. Students also recognize when shares are equal and when they are not equal. Students also describe two or four equal shares of circles or rectangles as halves, fourths, or quarters. Students describe the whole as two half shares, or as four quarter shares. |
Topic 14: Reason with Shapes and Their Attributes- 2D Shapes
Topic 14: Reason with Shapes and Their Attributes- 3D Shapes
Topic 15: Equal Shares of Circles and Rectangles
2nd Grade Math
Topic 14: More Addition, Subtraction, and Length Topic 14 focuses on the application of understanding addition and subtraction within 100 to solve word problems involving lengths. Add and Subtract Using Equations and Drawings: Students add and subtract to solve measurement problems by using equations in which a question mark stands for the unknown number. They draw pictures to help them solve the problems. Use a Number Line to Add and Subtract: Students use a number line to help them find sums or differences within 100. Many of the problems involve adding and subtracting length measurements. | Topic 15: Graphs and Data- Measurement DataCollect Measurement Data and Construct Line Plots: Students measure everyday objects to the nearest inch. They learn about different parts of a line plot, including the scale on the number line, the label, and the title. Students use line plots to display measurement data, including data they collected themselves. Interpret Measurement Data on a Line Plot: Students see how easily a line plot reveals such features of a data set as the least data value, the greatest data value, and the most common data value. | Topic 15: Graphs and Data- Categorical Data Bar Graphs: Students create bar graphs with up to four categories, using data given in a table. A bar graph uses bars to display the count, or frequency, for each category. Students also interpret the graphs. Picture Graphs: Students create picture graphs with up to four categories using data given in a tally chart. A picture graph uses picture symbols to display the count for each category. Students also interpret the graphs. |
Topic 14: More Addition, Subtraction, and Length
Add and Subtract Using Equations and Drawings: Students add and subtract to solve measurement problems by using equations in which a question mark stands for the unknown number. They draw pictures to help them solve the problems.
Use a Number Line to Add and Subtract: Students use a number line to help them find sums or differences within 100. Many of the problems involve adding and subtracting length measurements.
Topic 15: Graphs and Data- Measurement Data
Collect Measurement Data and Construct Line Plots: Students measure everyday objects to the nearest inch. They learn about different parts of a line plot, including the scale on the number line, the label, and the title. Students use line plots to display measurement data, including data they collected themselves.
Interpret Measurement Data on a Line Plot: Students see how easily a line plot reveals such features of a data set as the least data value, the greatest data value, and the most common data value.
Topic 15: Graphs and Data- Categorical Data
Picture Graphs: Students create picture graphs with up to four categories using data given in a tally chart. A picture graph uses picture symbols to display the count for each category. Students also interpret the graphs.
3rd Grade Math
Topic 15: Attributes of Two-Dimensional Shapes Topic 15 focuses on attributes of two-dimensional shapes, especially quadrilaterals. Students learn that shapes in different categories may share attributes that place them in a larger or smaller category. Recognize Shapes Based on Attributes
Classify and Analyze Shapes
| Topic 16: Solve Perimeter Problems Topic 16 focuses on recognizing perimeter as an attribute of polygons, finding perimeter using addition and multiplication, and finding an unknown side length. Understand and Find Perimeter
| Step up to Grade 4 10 lessons: 1-Place Value Relationships 2- Mental Math: Multiply by Multiples of 10, 100, and 1,000 3- Mental Math: Multiply Multiples of 10 4- Use Models to Multiply 2-Digit Numbers by Multiples of 10 5- Interpret Remainders 6- Model Addition of Fraction 7- Decompose Fractions 8- Lines, Rays and Angles 9- Understand Angles and Unit Angles 10-Lines |
Topic 15: Attributes of Two-Dimensional Shapes
Recognize Shapes Based on Attributes
- Types of Quadrilaterals: Students look at relationships between shape categories.
- Convex and Concave Polygons: Students describe a polygon as either convex or concave.
Classify and Analyze Shapes
- Classify Shapes: Students identify common attributes within groups of shapes.
- Analyze and Compare Quadrilaterals: Students analyze and compare quadrilaterals and group them by attributes.
Topic 16: Solve Perimeter Problems
Understand and Find Perimeter
- Recognize the Perimeter of a Figure as a Measurable Attribute: Students learn that the perimeter of a polygon is the distance around the figure.
- Find Perimeters of Common Shapes: Students use what they know about addition and multiplication to determine different methods for finding perimeter of equilateral triangles, squares, rectangles and other polygons.
- Find an Unknown Side Length: Students find an unknown side length when given the perimeter and remaining side lengths.
- Same Perimeters and Different Areas: Students create or describe rectangles that have equal perimeters and compare their areas.
- Same Areas and Different Perimeters: Students create or describe rectangles that have equal areas and compare their perimeters.
Step up to Grade 4
1-Place Value Relationships
2- Mental Math: Multiply by Multiples of 10, 100, and 1,000
3- Mental Math: Multiply Multiples of 10
4- Use Models to Multiply 2-Digit Numbers by Multiples of 10
5- Interpret Remainders
6- Model Addition of Fraction
7- Decompose Fractions
8- Lines, Rays and Angles
9- Understand Angles and Unit Angles
10-Lines
4th Grade Math
Topic 16: Lines, Angles and Shapes
Lines
- Identify Relationships Between Lines: Students learn different ways two lines can be related.
Classify Plane Shapes
- Classify Triangles: Students learn that triangles can be classified based on the length of their sides, the measure of their angles, or both.
- Classify Quadrilaterals: Students classify quadrilaterals based on properties of their sides and angles.
Lines of Symmetry
- Recognize Line Symmetry: Students recognize and draw lines of symmetry and identify line-symmetric figures.
- Draw Figures with Line Symmetry: Students draw figures that have line symmetry.
Extend Geometric Reasoning
- Critique Reasoning: Students critique the reasoning of others about geometric and other mathematical situations.
Step up to Grade 5
1- Understand Decimal Place Value
2- Compare Decimals
3- Use Models to Add and Subtract Decimals
4- Estimate the Product of a Decimal and a Whole Number
5- Find Common Denominators
6- Add Fractions with Unlike Denominators
7- Subtract Fractions with Unlike Denominators
8- Multiply a Whole Number by a Fraction
9- Divide Whole Numbers by Unit Fractions
10- Model Volume
5th Grade Math
Topic 15: Algebra: Analyze Patterns and Relationships
Numerical Patterns
- Numerical Patterns with the Same Rule: Students extend two numerical sequences using the same rule.
- Numerical Patterns with Different Rules: Students extend two numerical sequences using different rules.
Analyze and Graph Relationships
- Graphs of Relationships: Students extend numerical patterns, form ordered pairs from corresponding terms of two sequences, and graph the ordered pairs on a coordinate grid.
- Use Patterns and Graphs to Solve Problems: Students generate two patterns using given rules, graph each pattern, and use the graph to solve a problem.
Step up to Grade 6
1- Understand Division and Fractions
2- Understand Integers
3- Rational Numbers on the Coordinate Plane
4- Understand and Represent Exponents
5- Understand Equations and Solutions
6- Understand Ratios
7- Understand Rates and Unit Rates
8- Understand Percent
9- Relate Fractions, Decimals, and Percents
10- FInd Areas of Parallelograms and Rhombuses