Integrated Math 1

Course Content

Students will explore mathematics by investigating patterns, making conjectures about exponents in powers of ten, applying those conjectures to multiplication and division of exponents with the same base, and analyzing properties of quadrilaterals.

Students will apply the distributive property to calculations, variable expressions, and geometric relationships.

Students will estimate populations and distances using various strategies and will be able to determine if quantities are discrete or continuous.

Students will be able to write and evaluate numerical and algebraic expressions for measures of geometric figures, and situations that occur in everyday life.

Students will be able to simplify algebraic expressions involving positive and negative numbers.

Students will explore scientific notation, square roots and cube roots.

Students will model real life situations by equations and be able to solve equations involving one-step, multi-step and variables on both sides.

Applying the equations solving strategies, students will be able to analyze a formula and solve for a particular variable.

Students will be able to solve real-world situations by setting up a system of equations and then be able to solve the system of equations by substitution and by graphing. Students will be able to determine whether a system has one solution, no solution or infinite solutions.

Students will study coordinate geometry by finding areas of various polygons, using translations, rotations, and dilations.

Students will collect real-world data, analyze it and then interpret the data using a scatter plot.

Students will recognize graphs and everyday relationships that represent functions. Students will be able to determine the control and dependent variables.

Students will be able to represent functions in words, in graphs, as equations and in tables.

Students will explore the relationships that involve the constant ratios of direct variation, slope and tangent. Students will apply these relationships in everyday situations.

Students will represent real-world situations using direct variation models. Students will explore special direct variation models involving pi in respect to the circumference and area of a circle. Students will find the arc length of a circle and area of a sector of a circle.

Students will be able to write ratios in simplest for and to solve everyday problems with ratios and compare unit rates.

Students will use the concept of ratios to explore theoretical and experimental probability.

Students will model and solve problems with proportions and use proportions and other techniques to investigate sampling and margins of errors, modeling everyday situations with similar figures and scale drawings, and investigate right triangle ratios using sine and cosine.

Students will use linear combinations and the standard form of an equation for a line to model everyday situations. Students will be able to graph these equations and find their intercepts.

Students will investigate the slope of horizontal and vertical lines and be able to write equations of these lines and graph these lines.

Students will write an equation for a line using two points or the slope and one point.

Students will write and solve inequalities in one variable, graph linear inequalities and solve real-world problems by writing and graphing systems of linear inequalities.

Students will explore statistics by analyzing the mean, median, mode and outliers of a data set. Students will display and interpret data using histograms, stem-and-leaf plots, box-and-whisker plots, and circle graphs.

Students will recognize when data displays give a misleading impression of a set of data.