## Teacher Overview

## Teacher Certification

## Teacher Review

This app is designed as a one stop solution to revise pre-algebra (number work) through video based tutorials, covering a range of skills from fractions, decimals, percentages and ratio to missing angles in shapes and trigonometry. Upon opening the app the user is presented with a series of chapters, covering the essential mathematical topics for pre-algebra. When a topic is selected a further page lists the skills within this topic and gives the users the option to either watch a video or practice questions.

The videos are taught by direct instruction and are presented as a series of step-by-step sub-skills needed to master the skill being taught. Examples are used throughout the video to extend learning with explanations given at each stage. Lessons are clearly thought out and examples prepared in advance ensuring no time is wasted switching between sub-skills. The videos take the approach of a revision guide, presuming that students have encountered the material before, focussing on rules and procedures rather than delving into the deeper understanding of concepts or reasoning.

Once videos have been watched, students are able to attempt these skills on the practice page. On one side of this page, users are shown a question, four possible answers and a scoring system at the bottom indicating an overall percentage. On the other side, there is also space to scribble and makes notes. These features really come to life when a report is generated later. This document is extremely powerful as it displays all the data mentioned previously and can be printed and shared. This means from a student's perspective, they can see correct/incorrect answers and make improvements, they can also share their results with their teachers, parents or friends. From the teachers perspective this report gives an overview of the pupils' understanding but also allows teachers to delve deeper by viewing any notes made by students and helping identify any errors and misconceptions. The questions on this page are designed to extend students learning, with the first few questions regarded as simple questions taught in the videos, while the latter questions use skills taught in previous sessions and draw on other elements of mathematics, thus extending students learning.

It should be noted that videos are in American English and skills seem to be mapped to this curriculum, however, as with most mathematical work, the concepts are the same, just some of the expressions used are different. In terms of content itself, the app covers a range of content, from the most basic level such as essential numbers skills: integers, fractions, decimals percentages, ratios, proportions and probability. It also includes basic algebraic concepts: forming, expressing and solving one and two step equations and inequalities, alongside a brief introduction to graphing and linear functions. The third area it delves into is shape and space, exploring concepts such as missing angles in shape, Pythagoras theorem, trigonometry, area and volume. And finally, it explores data analysis, coving a range of topics from frequency tables and histograms, to box and whisker plots and the interpretation of graphs. Although mapped to the America curriculum, the range of content in this app ranges from primary school (KS2) to secondary school (KS3 and GCSE).

Given the breadth of content, an excellent app providing structured learning through video based tutorials and reinforced through practice and repetition, certainly worthy of a 4* rating.

## From the Developer

**REAL TEACHER TAUGHT LESSONS**

Pre-Algebra

This course teaches students to expand number sense to understand, perform operations, and solve problems with rational numbers. Pre-Algebra is taken by students as a first introduction to the concepts and skills needed to be successful in Algebra and higher math.

Chapter 1 Algebra Expressions and Integers

1.1 Variables and Expressions

1.2 Order of Operations

1.3 Writing and evaluating expressions

1.4 Integers and Absolute Value

1.5 Adding Integers

1.6 Subtracting Integers

1.7 Inductive Reasoning

1.8 Reasoning Strategy Look for a Pattern

1.9 Multiply and Dividing Integers

1.10 The Coordinate Plane

1.11 Plane for problem Solving

1.12 Variables and Expressions and Properties

1.13 Problem Solving - Work Backwards

Chapter 2 Solving One Step Equations and Inequalities

2.1 Properties of Numbers

2.2 The Distributive Properties

2.3 Simplifying Algebraic Equations

2.4 Variables and Equations

2.5 Solving Equations using Adding and Subtracting

2.6 Solving Equations using Multiplication and Division

2.7 Reasoning Strategy Try Test Revise

2.8 Inequalities and their Graphs

2.9 Solving Inequalities by Adding and Subtracting

2.10 Solving Inequalities by Multiplication and Division

Chapter 3 Decimals and Equations

3.1 Rounding and Estimating

3.2 Estimating Decimal Products and Quotients

3.3 Mean Median Mode

3.4 Using Formulas

3.5 Solve Equations by Adding and Subtracting Decimals

3.6 Solve Equations by Multiplying and Dividing Decimals

3.7 Using the Metric System

3.8 Reasoning Strategy Act it Out

Chapter 4 Factors, Fractions, and Exponents

4.1 Divisibility and Factors

4.2 Exponents

4.3 Prime Factorization and Greatest Common Numbers

4.4 Simplify Fractions

4.5 Reasoning Strategy Solve a Simpler problem

4.6 Rational Numbers

4.7 Exponents and Multiplication

4.8 Exponents and Division

Chapter 5 Operations with Fractions

5.1 Comparing Rational Numbers

5.2 Fractions and Decimals

5.3 Add and Subtract Fractions

5.4 Multiply and Divide Fractions

5.5 Using Customary Units of Measure

5.6 Reasoning Strategy Work Backwards

5.7 Solve by Adding and Subtracting Fractions

5.8 Solving Equations by Multiplying Fractions

5.9 Powers of Products and Quotients

Chapter 6 Ratios, Proportions, and Percents

6.1 Ratios and Rates

6.2 Proportions

6.3 Similar Figures and Scale Drawings

6.4 Probability

6.5 Fractions Decimals Percents

6.6 The Percent Equations

6.7 Percents and Equations

6.8 Precents of Change

6.9 Mark-up and Discount

6.10 Problem Solving - Make a Table

Chapter 7 Solving Equations and Inequalities

7.1 Solving Two Step Equations

7.2 Solving Muti-step Equations

7.3 Two-step equations with Fractions and Decimals

7.4 Reasoning Strategy Write an Equation

7.5 Solving Equations with Variables on both sides

7.6 Solving Two-step Inequalities

7.7 Transforming Formulas

7.8 Simple and Compound Interest

Chapter 8 Linear Functions and Graphing

8.1 Relations and Functions

8.2 Equations with two variables

8.3 Slope and Y- Intercept

8.4 Writing Rules for Functions

8.5 Scatter Plot

8.6 Reasoning Strategy Draw a Graph

8.7 Solve systems of Equations

8.8 Graphing Linear Inequalities

Chapter 9 Spatial Thinking

9.1 Points Lines and Planes

9.2 Angle Relationship and Parallel Lines

9.3 Classifying Polygons

9.4 Reason Strategy Draw a Diagram

9.5 Congruence

9.6 Circles

9.7 Constructions

9.8 Translations

9.9 Symmetry and Reflections

9.10 Rotations

Chapter 10 Area and Volume

10.1 Area of a Parallelogram

10.2 Area of a Triangles and Trapezoids

10.3 Area of Circles

10.4 Space Figures

10.5 Surface Area of Prisms and Cylinders

10.6 Surface Area of Pyramids, Cones and Spheres

10.7 Volume of Prisms and Cylinders

10.8 Problem Solving - Make Model

10.9 Volume of Pyramids, Cones and Spheres

And 4 more chapters with 8 lessons each

Chapter 11 Right Angles in Algebra

Chapter 12 Data Analysis and Probability