Mathematics Fund. of College Math 4 weeks Unit Title: Number Skills and Pre-Algebra Unit Overview/Essential Understanding: In Unit 1, students will review many of the basic number skills that were learned in the years just prior to Algebra I. Most of the topics will only be visited for a day or two as a to help strengthen foundational skills. “refresher” Unit Objectives: At the end of this unit, students will have a strong understanding of and be able to independently work with: Negative numbers Converting between fractions, decimals, and percents Estimating and rounding Exponents and roots Factors and GFC Ratios and proportions Probability and statistics Focus Standards Addressed in this Unit: CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real world or mathematical problems – CC.2.1.HS.F.3 Apply quantitative reasoning to choose and interpret units and scales in formulas, graphs, and data displays – CC.2.1.HS.F.4 Use units as a way to understand problems and guide the solution of multi-step problems – Important Standards Addressed in this Unit: N/A Misconceptions: Not following the correct rules when working with negative numbers and/or fractions General arithmetic errors when working with multi-step problems Mistakes when creating a data display to represent a set of data values Concepts/Content: Competencies/Skills: Description of Activities: Negative Perform basic operations on Direct teacher-led instruction Fraction Large group Q & A discussion many different types of numbers Mixed number Independent student work Work with many different Improper fraction Small group collaboration situations involving exponents Simplest form Online remedial/enrichment videos Apply and use ratios, Decimal proportions, and percentages in Percent various situations Front-end estimation Convert between fractions, Rounding decimals, and percents
Mathematics Fund. of College Math 4 weeks Unit Title: Number Skills and Pre-Algebra Unit Overview/Essential Understanding: In Unit 1, students will review many of the basic number skills that were learned in the years just prior to Algebra I. Most of the topics will only be visited for a day or two as a “refresher” to help strengthen foundational skills. Unit Objectives: At the end of this unit, students will have a strong understanding of and be able to independently work with: Negative numbers Converting between fractions, decimals, and percents Estimating and rounding Exponents and roots Factors and GFC Ratios and proportions Probability and statistics Focus Standards Addressed in this Unit: CC.2.1.HS.F.2 – Apply properties of rational and irrational numbers to solve real world or mathematical problems CC.2.1.HS.F.3 – Apply quantitative reasoning to choose and interpret units and scales in formulas, graphs, and data displays CC.2.1.HS.F.4 – Use units as a way to understand problems and guide the solution of multi-step problems Important Standards Addressed in this Unit: N/A Misconceptions: Not following the correct rules when working with negative numbers and/or fractions General arithmetic errors when working with multi-step problems Mistakes when creating a data display to represent a set of data values Concepts/Content: Negative Fraction Mixed number Improper fraction Simplest form Decimal Percent Front-end estimation Rounding Competencies/Skills: Perform basic operations on many different types of numbers Work with many different situations involving exponents Apply and use ratios, proportions, and percentages in various situations Convert between fractions, decimals, and percents Description of Activities: Direct teacher-led instruction Large group Q & A discussion Independent student work Small group collaboration Online remedial/enrichment videos