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Secondary 1 Maths topics

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1Number Theory

1.1Divisibility Rules
1.2Prime factors
1.3Determining Common Factors
1.4Determining Common Multiples
1.5Introduction to Exponents

2Adding and Subtracting Integers

2.1Introduction to integer addition
2.2Adding integers
2.3Introduction to integer subtraction
2.4Subtracting integers
2.5Application of integer operations

3Multiplying and Dividing Integers

3.1Understanding integer multiplication
3.2Multiplying integers
3.3Understanding integer division
3.4Dividing integers
3.5Applications of integer operations

4Operations with Decimals

4.1Adding and subtracting decimals
4.2Multiplying decimals
4.3Dividing decimals
4.4Order of operations (BODMAS)

5Adding and Subtracting Fractions

5.1Using models to add and subtract fractions
5.2Adding fractions with like denominators
5.3Subtracting fractions with like denominators
5.4Adding and subtracting fractions with unlike denominators
5.5Adding and subtracting mixed numbers

6Multiplying and Dividing Fractions

6.1Multiplying fractions and whole numbers (free lessons)
6.2Dividing fractions with whole numbers
6.3Multiplying proper fractions
6.4Multiplying improper fractions and mixed numbers
6.5Dividing fractions and mixed numbers
6.6Applications of fraction operations

7Rational Numbers

7.1Comparing and ordering rational numbers (free lessons)
7.2Solving problems with rational numbers in decimal form
7.3Solving problems with rational numbers in fraction form
7.4Determine square roots of rational numbers

8Powers, Exponents and square roots

8.1Using exponents to describe numbers (free lessons)
8.2Exponent rules
8.3Order of operations with exponents
8.4Using exponents to solve problems
8.5Squares and square roots (free lessons)
8.6Estimating square roots (free lessons)

9Ratios, Rates, and Proportions

9.1Ratios (free lessons)
9.2Rates
9.3Proportions

10Proportional Relationships

10.1Identifying proportional relationships
10.2Understanding graphs of proportional relationships (free lessons)
10.3Graphing and writing equations of proportional relationships
10.4Applications of proportional relationships (free lessons)

11Percents

11.1Representing percents
11.2Percent of a number
11.3Converting among decimals, fractions, and percents
11.4Applications of percents
11.5Taxes, discounts, tips and more
11.6Simple interest

12Measuring Systems

12.1Metric systems (free lessons)
12.2Imperial systems
12.3Conversions between metric and imperial systems
12.4Conversions involve squares and cubic

13Coordinates, Quadrants, and Transformations

13.1Cartesian plane
13.2Draw on coordinate planes
13.3Introduction to transformations
13.4Horizontal and vertical distances

14Patterns

14.1Patterns
14.2Graphing patterns

15Patterns and Solving Equations

15.1Evaluating algebraic expressions
15.2Solving one - step equations: x+a=bx + a = b
15.3Model and solve one-step linear equations: ax=bax = b, xa=b\frac{x}{a} = b (free lessons)
15.4Solving two-step linear equations using addition and subtraction: ax+b=cax + b = c
15.5Solving two-step linear equations using multiplication and division: xa+b=c\frac{x}{a} + b = c
15.6Solving two-step linear equations using distributive property: a(x+b)=c\;a\left( {x + b} \right) = c

16Angles, Lines and Transversals

16.1Pairs of lines and angles
16.2Parallel lines and transversals
16.3Parallel line proofs
16.4Perpendicular line proofs (free lessons)
16.5Parallel and perpendicular line segments
16.6Perpendicular bisectors

17Geometry of Polygons

17.1Classifying Triangles

18Scale Factors and Similarity

18.1Enlargements and reductions with scale factors (free lessons)
18.2Scale diagrams
18.3Similar triangles
18.4Similar polygons

19Surface Area of 3D Figures

19.1Introduction to surface area of 3-dimensional shapes (free lessons)
19.2Nets of 3-dimensional shapes
19.3Surface area of prisms
19.4Surface area of cylinders

20Volume of 3-dimensional figures

20.1Introduction to volume
20.2Volume of prisms
20.3Volume of cylinders
20.4Word problems relating volume of prisms and cylinders

21Data and Graphs

21.1Reading and drawing bar graphs
21.2Reading and drawing histograms
21.3Reading and drawing line graphs
21.4Box-and-whisker plots and scatter plots
21.5Reading and drawing Venn diagrams
21.6Stem-and-leaf plots
21.7Pie charts

22Statistics

22.1Median and mode
22.2Mean
22.3Range and outliers
22.4Application of averages

23Introduction to Probability

23.1Introduction to probability
23.2Organizing outcomes
23.3Probability of independent events
23.4Comparing experimental and theoretical probability
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