# Grade 3: Mathematics A course roadmap (maths). Language: en. By @si. Licence: CC BY-SA 4.0. 0 of 13 concepts ready. In the app: https://ai.page/roadmap/tn-grade-3 Part of: [Tennessee: Mathematics](https://ai.page/roadmap/tn.md) Goal: Tennessee academic standards: Mathematics, Grade 3 ## 1. Grade 3 · Relate area of rectangles to the operations of multiplication and addition. - [Area by Tiling](https://ai.page/c/area-by-tiling/index.md): Find the area of a rectangle by tiling it with unit squares and show that the result equals the product of the side lengths - [Understanding angles (age 8+)](https://ai.page/c/understanding-angles-age-8-maths/index.md): Multiply side lengths to find areas of rectangles and represent whole-number products as rectangular areas - [Area of compound shapes](https://ai.page/c/area-of-compound-shapes/index.md): Recognise area as additive; find areas of rectilinear figures by decomposing into non-overlapping rectangles and summing their areas - [Area and the distributive property](https://ai.page/c/area-and-the-distributive-property/index.md): Use tiling to demonstrate the distributive property: the area of a rectangle with sides a and (b+c) equals a×b + a×c; use area models to represent the distributive property ## 2. Grade 3 · Recognize that plane figures have an area and understand concepts of area measurement. - [Understanding Area](https://ai.page/c/understanding-area/index.md): Understand that a unit square has one square unit of area and that the area of a plane figure is the number of unit squares that cover it without gaps or overlaps ## 3. Grade 3 · Solve contextual problems in time and money. - [Halves and quarters (age 7+)](https://ai.page/c/halves-and-quarters-age-7/index.md): Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ¢ symbols appropriately - [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. Grade 3 · Explain equivalence of fractions and compare fractions by reasoning about their size. - [Comparing fractions (age 8+)](https://ai.page/c/comparing-fractions-age-8/index.md): Compare two fractions with the same numerator or the same denominator by reasoning about size; record comparisons with >, =, or < symbols - [Equivalent fractions on a number line](https://ai.page/c/equivalent-fractions-on-a-number-line/index.md): Understand two fractions as equivalent if they are the same size or the same point on a number line; recognise and show families of common equivalent fractions using diagrams - [Equivalent fractions (age 8+)](https://ai.page/c/equivalent-fractions-age-8/index.md): Generate simple equivalent fractions and explain why they are equivalent using visual fraction models - [Equivalent fractions (age 9+)](https://ai.page/c/equivalent-fractions-age-9/index.md): Explain why a fraction a/b is equivalent to (n×a)/(n×b) using visual models; use this principle to recognise and generate equivalent fractions, including tenths and hundredths - [Fractions of a whole (age 8+)](https://ai.page/c/fractions-of-a-whole-age-8/index.md): Express whole numbers as fractions (e.g. 3 = 3/1) and recognise fractions equivalent to whole numbers (e.g. 4/4 = 1, 6/1 = 6) ## 5. Grade 3 · Understand a fraction as a number on the number line. Represent fractions on a number line. - [Fractions on a number line (age 8+)](https://ai.page/c/fractions-on-a-number-line-age-8/index.md): Represent fractions on a number line: partition the interval 0 to 1 into b equal parts to locate 1/b, then mark off a lengths of 1/b from 0 to locate a/b ## Health: 0 of 100 Of its 13 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): - Area by Tiling has no explanation yet - Understanding angles (age 8+) has no explanation yet - Area of compound shapes has no explanation yet - Area and the distributive property has no explanation yet - Understanding Area has no explanation yet - Halves and quarters (age 7+) has no explanation yet - Estimating answers (age 7+) has no explanation yet - Comparing fractions (age 8+) has no explanation yet - Equivalent fractions on a number line comes before Fractions on a number line (age 8+), which it needs - Equivalent fractions on a number line has no explanation yet - Equivalent fractions (age 8+) has no explanation yet - Equivalent fractions (age 9+) has no explanation yet - Fractions of a whole (age 8+) has no explanation yet - Fractions on a number line (age 8+) has no explanation yet Credit: The structure of Tennessee academic standards: Mathematics (https://www.tn.gov/content/dam/tn/stateboardofeducation/documents/standards/math/TN_Revised_Standards_K-4th_year_math_6-9-2022.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.