## Mathematical practices

Use appropriate tools strategically. Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.

## Related Lessons

Lesson 24

Use the number line to place, compare, and order decimals to the hundredths. Use estimation and an algorithm based on place value to add decimals to hundredths. Use the number line to place, compare, order, and add decimals to the hundredths.

Lesson 23

Match visual models to the numbers they represent in fraction and decimal format. Solve problems with decimal fractions. Match visual models to the numbers they represent in fraction and decimal format.

Lesson 22

Use visual models and equations to solve problems involving multiplying and dividing fractions. Use models & equations to solve problems involving multiplying and dividing fractions.

Lesson 21

Use visual models, repeated addition, and multiplication to solve problems with equal sized groups. Compare the strategies to see which one is most efficient. Use visual models, addition, & multiplication to solve problems with equal sized groups.

Lesson 20

Use estimation and visual models to solve problems involving adding fractions with unlike denominators. Solve problems involving adding fractions with unlike denominators.

Lesson 19

Put together the fraction puzzle pieces by matching the visual model, expression, and fraction representations. Match visual models, expressions, and fractions to explore adding fractions.

Lesson 18

Use visual models and benchmark fractions to help compare and order fractions with unlike numerators and denominators. Use a number line and benchmark fractions to compare and order fractions.

Lesson 08

Use visual models, decompose shapes, and apply the area formula for rectangles to solve problems in real world contexts. Use visual models & the area formula for rectangles to solve problems.

Lesson 4

Use your body and form several yoga poses to help create, describe, and name different types of triangles. Name their angles. Move into yoga poses to help create, describe, and name different types of triangles.

Lesson 3

Move on a physical place value chart to help understand that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. Move on a physical place value chart to understand the "times 10" pattern.

Lesson 2

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right. Hunt for patterns in the number of zeros of the product when multiplying a number by powers of 10. Hunt for patterns in the product when multiplying a number by 10.

Lesson 01

Multiply a two-digit by a one-digit whole number using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Multiply whole numbers using place value strategies & the properties of operations.

Lesson 303

Compare fractions with the same numerator and different denominators. Compare and order fractions using bar models. Represent one whole using a fraction with equal numerator and denominator.