This course will develop students' computational skills so they feel confident in problem solving. Special emphasis will be placed on reading, understanding, and translating word problems into numerical expressions that can then be solved. Logical and creative reasoning will be celebrated!
Pre-algebra aims to build basic skills to prepare students for algebraic reasoning. Students will focus on learning to accurately compute addition, subtraction, multiplication, and division with rational numbers (integers, fractions, and decimals). Students will review working with exponents and be introduced to working with irrational numbers. Students will also investigate basic geometry to understand the meaning of perimeter, area, and volume, and how to find those values.
- Understand the difference between rational and irrational numbers.
- Compare, add, subtract, multiply and divide rational (fractions, decimals, and integers) and irrational numbers.
- Review of rates, proportions, and percentages.
- Understand the link between multiplication and exponents. Learn to work with negative and fraction exponents. Learn to add, subtract, multiply and divide variables and numbers containing exponents (multiplying monomials, polynomials).
- Know how to express a very large or very small number using scientific notation. Understand how to write data given in scientific notation in standard form. Understand how to add, subtract, multiply or divide numbers in scientific notation.
- Understand that the opposite of an exponent is a root. Understand how to solve for a variable when the variable has an exponent. Understand how to estimate the square root of a number.
- Solve one and two-step equations involving only one variable.
- Know how to plot a point on a coordinate system. Understand how to name a point given on a coordinate system.
- Know how to graph a linear relationship on a coordinate system. Understand how the graphical model of the linear equation relates to the algebraic model. Understand how the slope of a line can be described as a rate.
- Build a scatterplot to visually interpret data. Identify whether a positive correlation, negative correlation, or no correlation exist, and identify outliers. Understand that a scatterplot's data can be approximated with a line of best fit.
- Review how to find mean, median, and mode, and understand what each of the measures tells about a set of data.
- Understand a function as a rule (input a number->perform an operation-> receive an output). Understand how to graphically represent non-linear functions by making a table of values.
- Learn how to represent rotations, reflections, translations, dilations on a graph.
- Understand the definitions of congruency vs. similarity in geometric figures. Know how to identify congruent shapes and similar shapes.
- Learn the relationship of angles in geometric figures. Understand that all three angles of a triangle added together equal 180. Extrapolate this pattern to polygons with more than 3 sides. Learn how to find the exterior angles of a polygon. Analyze the relationship of angles in a transversal.
- Learn Pythagorean theorem and its converse.
- Find perimeter and area of 2D figures, and find volume and surface area of 3D figures.