# Curriculum Connection

## K-5 Math-April 2021

## Math Norms

## Kindergarten Math

## Topic 9: Count Numbers to 20
Throughout Topic 9, students use the correct words as they count 11 to 20 objects. As done previously with a lesser number of objects, students "tag" each object with one and only one number. It is important to note that the verbal sequence for the teen numbers 14, 16, 17, 18, and 19 follows a pattern by beginning with the ones place and then adding "teen" on the end. It can be confusing for students that the other numbers (11,12,13, and 15) do not follow that same verbal pattern. The written pattern, however, for the teen numbers is clear and consistent, and it should be emphasized. Lessons also reinforce the important concept that when counting a group of objects, the last number name said tells how many objects are in the group. | ## Topic 10: Compose Numbers 11 to 19
Students compose all of the teen numbers by putting together 10 ones and some more. They represent composition with objects, drawings, and equations. | ## Topic 10: Decompose Numbers 11 to 19
Students decompose all of the teen numbers by breaking apart the number into 10 ones and the remaining ones. They represent decomposition with objects, drawings, and equations. |

## Topic 9: Count Numbers to 20

**Count Quantities 11 to 20**

Throughout Topic 9, students use the correct words as they count 11 to 20 objects. As done previously with a lesser number of objects, students "tag" each object with one and only one number. It is important to note that the verbal sequence for the teen numbers 14, 16, 17, 18, and 19 follows a pattern by beginning with the ones place and then adding "teen" on the end. It can be confusing for students that the other numbers (11,12,13, and 15) do not follow that same verbal pattern. The written pattern, however, for the teen numbers is clear and consistent, and it should be emphasized. Lessons also reinforce the important concept that when counting a group of objects, the last number name said tells how many objects are in the group.

## Topic 10: Compose Numbers 11 to 19

**Make the Numbers 11 to 19**

Students compose all of the teen numbers by putting together 10 ones and some more. They represent composition with objects, drawings, and equations.

## 1st Grade Math

## Topic 11-Use Models and Strategies to Subtract 10 Topic 11 focuses on subtracting multiples of 10 less than 100. Students find answers using concrete models, drawings, properties of operations, and strategies based on place value. Written methods are related to strategies, with an expectation that students can explain the reasoning used.
| ## Topic 12- Measure Lengths Topic 12 focuses on just one measurable attribute of an object: length. Students develop an understanding of length by comparing and ordering objects to determine which one is shortest and longest. Students also use different tools to measure the length of objects. | ## Topic 13- Time and Money Topic 13 focuses on two major concepts: money and time. Students identify and combine values of money in cents up to one dollar and compute the value of combinations of pennies and/or dimes. Students are also introduced to telling and writing time to the hour and half hour using both analog and digital clocks. |

## Topic 11-Use Models and Strategies to Subtract 10

**Subtract Tens:** Students use place-value blocks, a hundred chart, and an open number line to subtract a multiple of 10 from another multiple of 10.

**Use Addition to Subtract Tens**: Students use an open number line to count on by tens to find a missing addend.

**Subtract 10 Using Mental Math**: Students use mental math to subtract 10.

## Topic 12- Measure Lengths

## Topic 13- Time and Money

## 2nd Grade Math

## Topic 12- Measuring Length Topic 12 focuses on using appropriate tools to estimate, measure, and compare length using customary units (inches, feet, and yards) and metric units (centimeters and meters). This unit also addresses the inverse relationship between the size of a unit and the number of units needed to measure a given object.
| ## Topic 13: Shapes and Their AttributesIn Topic 13, students learn to recognize triangles, quadrilaterals, pentagons, and hexagons by examining the number of sides and the number of vertices of the shape. They learn about polygons and angles, including right angles. They use these attributes to describe and draw triangles, quadrilaterals, pentagons, and hexagons. | ## Topic 13: Shapes and Their Attributes (continued) Students use square tiles to help them divide rectangles into equal squares. They use repeated addition to count the squares. This reinforces the work on arrays, and it is the foundation for understanding the concepts of area. Students also partition rectangles, squares, and circles into 2, 3, or 4 equal shares and identify the shares as halves, thirds, or fourths. Additionally, students divide rectangles into equal shares that do not have the same shape. This work lays a foundation for fraction concepts. |

## Topic 12- Measuring Length

**Use Standard Units to Estimate Length: **Students learn to estimate length in standard customary units by using familiar objects, such as paper clips, and personal referents, such as a thumb. Using familiar benchmarks and personal referents helps students understand the size of standard units.

**Measure with Customary and Metric Units:** Students use rulers, yardsticks, or measuring tapes to measure to the nearest customary unit (inches, feet, and yards) or to the nearest metric unit (centimeters and meters). Students learn to use the halfway mark on a ruler or other measurement tool as a way to determine the nearest unit.

## Topic 13: Shapes and Their Attributes

In Topic 13, students learn to recognize triangles, quadrilaterals, pentagons, and hexagons by examining the number of sides and the number of vertices of the shape. They learn about polygons and angles, including right angles. They use these attributes to describe and draw triangles, quadrilaterals, pentagons, and hexagons.

## Topic 13: Shapes and Their Attributes (continued)

## 3rd Grade Math

## Topic 14: Solve Time, Capacity, and Mass Problems

**Topic 14** focuses on extending students' understanding of time and solving problems, involving estimation and measurement of time intervals, liquid volume (capacity), and mass.

**Time**

- Time to the Nearest Minute
- Elapsed Time

**Liquid Volume and Mass**

- Liquid Volume
- Mass

**Measurement Word Problems**

- Situations Involving Units of Time
- Situations Involving Liquid Volume and Mass

## 4th Grade Math

## Topic 13: Measurement: Find Equivalence in Units of Measure

**Topic 13**focuses on converting measurement from larger to smaller units within one system of measurement, customary or metric. It also focuses on solving real-world problems involving distance or area and perimeter.

**Equivalent Measurements**

- Customary Units
- Metric Units

**Solve Real-World Problems**

- Distance Problems
- Area and Perimeter Problems

## 5th Grade Math

## Topic 13: Write and Interpret Numerical Expressions

**Topic 13**focuses on developing understanding of the order of operations and how to use it to evaluate, write, and interpret numerical expressions with grouping symbols.

**Evaluate Numerical Expressions**

- Order of Operations

**Write Numerical Expressions**

- Write Numerical Expressions

**Connect Numerical Expressions to the Real World**

- Interpret Numerical Expressions
- Solve Multi-Step Problems Using a Numerical Expression

## Topic 14: Graph Points on the Coordinate Plane

**Topic 14**focuses on developing understanding of the coordinate system and how to use the ordered pairs to locate points in a plane.

**The Coordinate System**

- Understand the Coordinate System
- Graph Ordered Pairs

**Solve Problems**

- Use Reasoning and Interpret Coordinate Values