Making Sense of Fractions

• Students use visual models to name fractions as a⁄b where a is how many parts are represented and b is how many equal-sized parts are in the whole. The whole is equal to whole fraction circles, other fractions, and sets of objects.
• Students determine if two fractions are equivalent if they are the same size.

Ordering Fractions

• Students use fraction circles, bars, and real world contexts to compare and order two fractions with the same numerator or denominator by reasoning about their size.

Fractions on a Number Line

• Students understand a fraction as a number on the number line, label a number line using fraction notation, and place fractions on a number line in a variety of real-world contexts. Fractions are less than 1, between 1 and 2, and whole numbers written in fraction form.

Fraction Refresher I

• Students review fraction learning objectives from grades 3.

Advanced Ordering Fractions

• Students compare and order fractions with unlike denominators using a variety of models and strategies.

Equivalent Fractions

• Students use bars, number line, and real-world contexts to determine if two fractions are equivalent and to build equivalent fractions.
• Students determine how many objects in a set are equal to 1⁄2, 1⁄3, or 1⁄4 of the set.

Fraction Addition and Subtraction

• Students add and subtract fractions and mixed numbers with like denominators using fraction circles, fraction bars, and real-world contexts.

Multiplication of Fractions

• Students solve word problems involving the multiplication of a fraction by a whole number using fraction circles, sets, real-world contexts, and number line.

Making Sense of Decimals

• Students use visual models including 1×10 and 10×10 grid models to explore and name tenths and hundredths.
• Students compose and decompose decimals to build tenths from hundreds, and to rename a given decimal into tenths and hundredths.
• Students compare decimals by reasoning about their size, comparing them to benchmark about place value, and using visual models.

Decimals on the Number Line

• Students locate and name tenths and hundredths on the number line using visual models, place value, and reasoning about relative size.

Fraction Refresher II

• Students review fraction learning objectives from grades 3-4.

Advanced Fraction Addition

• Students add fractions with unlike denominators and simplify answers using fraction circles, fraction bars, and real-world contexts.

Advanced Fraction Subtraction

• Students subtract fractions with unlike denominators and simplify answers using fraction circles, fraction bars, and real-world contexts.

Advanced Fraction Multiplication

• Students multiply fractions using sets, fraction circles, rectangular models, and real-world contexts.

Division of Fractions

• Students divide fractions by whole numbers and whole numbers by fractions using real-world contexts, fraction bars, fraction circles, and sets.

Fraction Refresher III

• Students review core fraction learning objectives from grades 3-5.

Advanced Fraction Division

• Students divide fractions and solve word problems involving division of fractions using real-world contexts, fraction bars, fraction circles, and sets and interpret the results.

Making Sense of Ratios

• Students use visual models including a paint mixer to explore and understand the concept of ratios.
• Students use ratio and proportional reasoning to solve real-world problems.
• Students understand the use of mathematical language to describe a relationship between two quantities.

Reasoning with Ratios & Rates

• Students understand the concept of unit rate.

Connecting with Negative Numbers

• Students use the number line and real-world contexts to make sense of ordering positive and negative numbers in relation to zero.
• Students make sense of numbers and their opposites by modeling with a number line.

Ordering & Absolute Value

• Students make connections between positive and negative numbers and their distances from zero.
• Students order positive and negative numbers based on their relative position on the number line.

Analyzing Proportional Relationships

• Students represent proportional and non-proportional situations using diagrams, tables, coordinate plane, equations, and real-world situations.
• Students are asked to visualize relationships between quantities and recognize if they are proportional or non-proportional.
• Students explore a variety of representations to determine if a situation is proportional or not.

Intervention and Remediation

• Woot Math is designed to help middle school students master the foundational concepts that they need to be successful in Algebra and beyond.
• Leverage leading math-ed research to help your students succeed!