# Grade 3: Mathematics

A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 15 concepts ready. In the app: https://ai.page/roadmap/wi-grade-3

Part of: [Wisconsin: Mathematics](https://ai.page/roadmap/wi.md)

Goal: Wisconsin academic standards: Mathematics, Grade 3

## 1. Geometry · Reason with shapes and their attributes.

- [Understanding angles](https://ai.page/c/understanding-angles/index.md): Recognise angles as a property of shape or a description of a turn

## 2. Measurement and Data · Represent and interpret data.

- [Measuring length (age 7+)](https://ai.page/c/measuring-length-age-7/index.md): Measure the length of an object by selecting and using appropriate tools such as rulers, yardsticks, metre sticks, and measuring tapes
- [Measuring & Plotting Lengths](https://ai.page/c/measuring-and-plotting-lengths/index.md): Generate measurement data by measuring lengths to the nearest whole unit and display the data on a line plot
- [Picture & Bar Graphs](https://ai.page/c/picture-and-bar-graphs/index.md): Draw a picture graph and a bar graph (with single-unit scale) to represent a data set with up to four categories; solve put-together, take-apart, and compare problems using information presented in a bar graph

## 3. Measurement and Data · Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects.

- [Measuring Liquids & Masses](https://ai.page/c/measuring-liquids-and-masses/index.md): Measure and estimate liquid volumes and masses of objects using grams, kilograms, and litres; solve one-step word problems involving mass or volume
- [Estimating answers (age 7+)](https://ai.page/c/estimating-answers-age-7/index.md): Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes, and hours

## 4. Number and Operations – Fractions · Develop understanding of fractions as numbers.

- [Fraction Addition Concepts](https://ai.page/c/fraction-addition-concepts/index.md): Understand addition and subtraction of fractions as joining and separating parts; decompose a fraction into a sum of fractions with the same denominator in more than one way
- [Fractions on a number line](https://ai.page/c/fractions-on-a-number-line/index.md): Recognise and use fractions as numbers: place unit fractions and non-unit fractions with small denominators on a number line
- [Fractions of a whole](https://ai.page/c/fractions-of-a-whole/index.md): Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a/b as a parts of size 1/b

## 5. Number and Operations in Base Ten · Use place value understanding and properties of operations to perform multi-digit arithmetic, using a variety of strategies.

- [Adding numbers](https://ai.page/c/adding-numbers/index.md): Add up to four two-digit numbers using strategies based on place value and properties of operations
- [Numbers to 10,000](https://ai.page/c/numbers-to-10-000/index.md): Identify, represent, and estimate numbers up to 10,000 using different representations

## 6. Operations and Algebraic Thinking · Solve problems involving the four operations and identify and explain patterns in arithmetic.

- [Patterns in Times Tables](https://ai.page/c/patterns-in-times-tables/index.md): Identify arithmetic patterns (including patterns in the addition table or multiplication table) and explain them using properties of operations
- [Multi-Step Problem Solving](https://ai.page/c/multi-step-problem-solving-maths/index.md): Make sense of multi-step problems involving four operations, fractions, and area/volume by identifying sub-steps, choosing a strategy, and monitoring progress

## 7. Operations and Algebraic Thinking · Multiply and divide within 100.

- [Addition and subtraction within 20](https://ai.page/c/addition-and-subtraction-within-20/index.md): Add and subtract within 20 using strategies such as making ten, decomposing a number leading to ten, and using known facts

## 8. Operations and Algebraic Thinking · Represent and solve problems involving multiplication and division.

- [What Multiplication Means](https://ai.page/c/what-multiplication-means/index.md): Interpret products of whole numbers (e.g. 5 × 7 as the total number of objects in 5 groups of 7)

## Health: 0 of 100

Of its 15 own concepts: 0 have an explanation, 0 have practice, 0 have a measurement question, 0 have a checked version.

Findings (each is a task for anyone's AI):

- Understanding angles has no explanation yet
- Measuring length (age 7+) has no explanation yet
- Measuring & Plotting Lengths has no explanation yet
- Picture & Bar Graphs has no explanation yet
- Measuring Liquids & Masses has no explanation yet
- Estimating answers (age 7+) has no explanation yet
- Fraction Addition Concepts has no explanation yet
- Fractions on a number line has no explanation yet
- Fractions of a whole has no explanation yet
- Adding numbers has no explanation yet
- Numbers to 10,000 has no explanation yet
- Patterns in Times Tables has no explanation yet
- Multi-Step Problem Solving has no explanation yet
- Addition and subtraction within 20 has no explanation yet
- What Multiplication Means has no explanation yet

Credit: The structure of Wisconsin academic standards: Mathematics (https://dpi.wi.gov/sites/default/files/imce/standards/New%20pdfs/ee-mathematics_final_2022.pdf); concepts from the Marble Skill Taxonomy (v1), © Generative Spark, Inc. (withmarble.com), text CC BY-SA 4.0, database ODbL 1.0: https://github.com/withmarbleapp/os-taxonomy, mapped to its standards by Marble.
