   What’s included in the FREE Tier?

## 2X

In our most recent NSF-funded research (a randomized controlled crossover trial with 27 teachers and 526 students), the use of Woot Math’s Adaptive Learning Platform resulted in students learning TWICE as fast as they did in business-as-usual conditions.

## SCOPE AND SEQUENCE

### 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.

• 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.

• 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.

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

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

• 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.

• 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.

## Why does Woot Math focus on Rational Numbers?

Ask any algebra teacher and they will tell you that the lack of understanding of fractions is one of the biggest challenges they face. And as research shows, the consequences are severe. ## AWARDS & RECOGNITION    Which Edtech Companies Are Producing the Best Research-Based Products?”
Winner, Top Evaluation Research: Woot Math
— EdSurge, Digital Promise,
Nov 9, 2016    