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Basic 7 Mathematics

Every Basic 7 Mathematics indicator taught step by step: clear notes, worked examples, animations and graded practice.

Source: NaCCA Mathematics Common Core Programme (CCP) Curriculum for JHS1 (B7) – JHS3 (B9), September 2020

Start the first lesson

Strand 1: Number

BECE-style strand test

B7.1.1 · Sub-strand 1

Number and Numeration Systems

Reading, writing, comparing and rounding very large numbers and decimals, and using significant figures.

  1. 1. Modelling Numbers up to and beyond One Billion
  2. 2. Comparing and Ordering Numbers beyond One Billion
  3. 3. Rounding Large Whole Numbers and Significant Figures
  4. 4. Rounding Decimals to Tenths, Hundredths and Thousandths
  5. 5. Significant Figures and Decimal Places
Sub-strand quiz

B7.1.2 · Sub-strand 2

Number Operations

Powers of 10, mental strategies, the four operations with whole numbers and decimals, and indices.

  1. 1. Multiplying and Dividing by Powers of 10
  2. 2. Mental Mathematics Strategies and Number Properties
  3. 3. Using Mental Strategies to Solve Word Problems
  4. 4. Adding and Subtracting Whole Numbers and Decimals
  5. 5. Multiplying and Dividing by 1- and 2-Digit Numbers
  6. 6. Solving Story Problems with Decimals
  7. 7. Repeated Factors and Powers
  8. 8. Writing Numbers as Powers and Products of Powers
  9. 9. The Zero Index: Why Any Number to the Power 0 Is 1
  10. 10. Finding the Value of a Number in Index Form
  11. 11. Finding the HCF Using Prime Factors in Index Form
Sub-strand quiz

B7.1.3 · Sub-strand 3

Fractions, Decimals and Percentages

Working with fractions, decimals and percentages, and moving between them.

  1. 1. Benchmark Fractions as Decimals and Percentages
  2. 2. Comparing and Ordering Fractions, Decimals and Percentages
  3. 3. Adding and Subtracting Unlike and Mixed Fractions
  4. 4. Solving Word Problems with Fractions
  5. 5. Multiplying Fractions, Decimals and Percentages
  6. 6. Finding a Fraction of a Quantity
  7. 7. Dividing Fractions, Decimals and Percentages
  8. 8. Dividing Quantities by Fractions
Sub-strand quiz

B7.1.4 · Sub-strand 4

Ratios and Proportion

Comparing quantities with ratios and rates, and solving proportion problems.

  1. 1. Ratios and the Language of Ratio
  2. 2. Unit Rates and Rate Language
  3. 3. Tables of Equivalent Ratios and Sharing in a Ratio
  4. 4. Proportional Reasoning: Missing Values and Graphs
  5. 5. Percent as a Rate per 100
Sub-strand quiz

Strand 2: Algebra

BECE-style strand test

B7.2.1 · Sub-strand 1

Patterns and Relations

Finding rules for patterns, tables of values, mappings and simple straight-line graphs.

  1. 1. Extending Patterns and Relations
  2. 2. Describing the Rule of a Relation in Words
  3. 3. Finding the Rule of a Pattern or Mapping and Predicting Terms
  4. 4. The Number Plane: Tables of Values and Straight-Line Graphs
Sub-strand quiz

B7.2.2 · Sub-strand 2

Algebraic Expressions

Using letters for numbers, simplifying, expanding and substituting into expressions.

  1. 1. Writing Algebraic Expressions from Words
  2. 2. Adding and Subtracting Algebraic Expressions
  3. 3. Multiplying and Dividing Algebraic Expressions
  4. 4. Substituting Values into Algebraic Expressions
  5. 5. Simplifying Expressions Using the Properties of Operations
Sub-strand quiz

B7.2.3 · Sub-strand 3

Variables and Equations

Writing and solving linear equations and inequalities.

  1. 1. Writing Equations from Word Problems (and Back Again)
  2. 2. Solving Equations with Counters and a Balance
  3. 3. Modelling and Solving Equations with Algebra Tiles
  4. 4. Solving Linear Equations in One Variable
Sub-strand quiz

Strand 3: Geometry and Measurement

BECE-style strand test

B7.3.1 · Sub-strand 1

Shape and Space

Measuring and classifying angles, angle facts, and compass-and-ruler constructions.

  1. 1. Measuring and Classifying Angles
  2. 2. Complementary and Supplementary Angles
  3. 3. Adjacent, Supplementary and Vertically Opposite Angles
  4. 4. Constructing Perpendicular Lines with Compasses and Ruler
  5. 5. Constructing the Perpendicular Bisector of a Line Segment
  6. 6. Copying and Bisecting Angles
  7. 7. Constructing Angles of 90° and 45°
  8. 8. Constructing Angles of 60° and 30°
  9. 9. Constructing Angles of 15° and 75°
  10. 10. Perpendiculars and Bisectors in the Environment
Sub-strand quiz

B7.3.2 · Sub-strand 2

Measurement

Perimeter and circumference, area of plane shapes, and other measures.

  1. 1. Perimeter of Shapes with Mixed Units
  2. 2. Circumference of a Circle and the Meaning of Pi
  3. 3. Drawing Rectangles and Triangles on a Square Grid
  4. 4. Deriving the Area of a Triangle
  5. 5. Calculating the Area of Triangles
  6. 6. Bearings: Giving Direction with Three Digits
  7. 7. Back Bearings: Finding the Way Home
  8. 8. Scalar and Vector Quantities
  9. 9. Column Vectors: Writing Vectors as East–North Components
  10. 10. From Column Form to Magnitude and Bearing (and Back)
Sub-strand quiz

B7.3.3 · Sub-strand 3

Position and Transformation

Coordinates and moving shapes by translation, reflection, rotation and enlargement.

  1. 1. Lines of Symmetry in Adinkra and Everyday Designs
  2. 2. Plotting Points and Reflecting Shapes on the Coordinate Plane
  3. 3. Translating Points and Shapes by a Vector
  4. 4. Congruent and Similar Shapes in Patterns and Designs
Sub-strand quiz

Strand 4: Handling Data

BECE-style strand test

B7.4.1 · Sub-strand 1

Data

Collecting, organising, presenting and interpreting data.

  1. 1. Choosing and Justifying a Method of Collecting Data
  2. 2. Designing and Using a Questionnaire
  3. 3. Tally Charts, Frequency Tables, Bar Charts and Pie Charts
  4. 4. Finding and Using the Mean (Average)
  5. 5. Finding the Median and the Mode
Sub-strand quiz

B7.4.2 · Sub-strand 2

Chance or Probability

Describing how likely events are and calculating simple probabilities.

  1. 1. How Likely Is It? Impossible, Possible and Certain Events
  2. 2. Classifying the Likelihood of Outcomes with Dice
  3. 3. Calculating Probability as Fractions, Decimals, Percentages and Ratios
Sub-strand quiz