Mathematics Overview

Mathematics Overview

Learning Objectives

At the end of the lesson you will be able to solve compound interest problems using the formula F=P(1+i)^n. You will understand how to convert numbers into scientific notation and why a must be between 1 and 10. You will be able to solve problems involving distance, speed, and time. You will be able to solve algebraic equations using factoring and the quadratic formula. You will understand how to work with significant figures in mathematical operations. You will be able to solve simultaneous equations with two unknowns. You will be able to use and create arithmetic sequences and calculate their sums. You will be able to perform operations with complex numbers and understand their graphical representations. You will be able to differentiate functions to find slopes and turning points. You will be able to read, interpret, and graph coordinate points and understand the properties of shapes and their area and volume formulas.

What do you already know about financial mathematics, scientific notation, and algebraic equations?

Financial Maths: Compound Interest and Depreciation

Formula: F=P(1+i)^n. Depreciation formula: F=P(1 - i)^n.

Scientific Notation

Express numbers too large or small in powers of ten. 'a' must be between 1 and 10.

Distance, Speed, and Time Calculations

Formula: D = S x T

Algebra: Solving Quadratic Equations

Solve using factoring and the quadratic formula.

Significant Figures

Digits indicating precision in measurement.

Simultaneous Equations

Set of equations with multiple variables solved together.

Arithmetic Sequences and Sums

Sequence of numbers with common difference.

Complex Numbers and Their Operations

Numbers in form a + bi, graphical representation on a complex plane.

Calculus: Differentiation and Slopes

Finding the derivative of a function.

Graphs and Shapes: Coordinate Systems and Geometric Formulas

Mathematical formulas for area, volume, and surface area of geometric shapes.

Definitions

Compound Interest, Scientific Notation, Depreciation, Distance-Speed-Time Calculations, Quadratic Equations, Significant Figures, Simultaneous Equations, Arithmetic Sequences, Complex Numbers, Differentiation, Coordinate Systems, Geometric Formulas

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.