# UbD Curriculum Unit

Target Students: This course unit is designed for students in their practicum placement in their algebra course title in mathematics for 10th grade students. The unit is on algebraic expressions.

Course statement: Pre-Algebra: upon the course completion the students will be able to; understand relations and functions, solve word problems using equations, solve quadratic equations, operate polynomial equations, solve inequalities using graphs and other methods, solve linear equations, evaluate algebraic expressions, understand word problems, and exponents and roots.

Unit statement: The unit is on algebraic expressions; it incorporates simplifying and evaluating algebraic and numeric expressions. The unit will build foundation on patterns and operations of decimals, integers and fractions.

Lesson Plan

In teaching Algebraic expressions for grade 10 mathematics it will require 10 lesson units that include; real number systems, rational and irrational numbers, rounding off, estimating surds, products, factorization, simplification of fractions, summary, end of chapter exercises and practicing the chapter. The hunter’s model identifies that there are eight elements used by teachers when planning and presenting their lessons (Owen, 2015). The elements are; anticipatory set, objective and purpose, input, modeling, checking for understanding, guided practice, independent practice and closure.

 Lesson Objectives Materials Development Practice Day 1: Real number systems Use of whole numbers, real numbers and integers Work sheets and pre-printed notes.  Handouts The students will watch the teacher working out different examples on real number system. The students will be guided through at least three practice problems. Day 2: Rational and irrational numbers Understanding rational and irrational numbers, using decimal numbers, converting terminating decimals into rational numbers, converting recurring decimals into rational numbers. Mini-white board, poster paper and scrap paper, hint sheets and calculator Students attempt tasks individually. Then teacher makes the introduction. Then the students attempt the tasks in groups. Students handed practice problems and exchange sheets for marking. Day 3 : Rounding off Use the quickest way to approximate a number by rounding off a number to a given number of decimal places Pre-printed numbers and number cards Students will be required to round off a number to the nearest tens, hundreds and thousands. The students will be guided through at least three practice problems. Day 4: Estimating surds look at surds of the form a√n Estimation of surds Surds starter Flip charts Handouts Students should list square numbers to be able to simplify surds Manipulating of expression using surds. Students to divide the length of different paper sizes by their width The students will be guided through at least three practice problems. Day 5: Products Understand expression, coefficient, base, constant and exponent Multiplying a monomial and binomial Multiplying two binomials Multiplying a binomial and a trinomial Worksheets  Task cards Handouts Cartesian plane Puzzler is explained to students on how it works Students are required to use the polynomial puzzler to reinforce their knowledge in monomials, polynomials and binomials The students will be guided through at least three practice problems. Day 6: Factorization Understanding factorizing and expanding Learning common factors Leaning difference of two squares Factorizing by grouping in pairs Factorizing a trinomial Understanding sum and difference of two cubes Algebraic tiles, illustrative pictures and algebraic patters (Nakahara, 2010) Use of factor rainbows Use of factor trees Students assessed their multiplication and division skills The students will be guided through at least three practice problems. Day 7:  Simplification of fractions Understand how to simplify fractions How to use the reciprocal of a fraction Understand the use of linear and quadratic binomials in fractions Fraction charts Number line Pie charts Handouts Drawing pictures and simplifying the fractions Simplifying factors to the lowest terms Using the greatest common factor The students will be guided through at least three practice problems. Day 8:  Chapter summary Review of real number systems, rational and irrational numbers, rounding off, estimating surds, products, factorization, simplification of fractions Work sheets and pre-printed notes, Mini-white board, poster paper and scrap paper, hint sheets and calculator, Pre-printed numbers and number cards, Surds starter Flip charts, Fraction charts, Number line, and Pie charts Writing all the formulas of each of the previous topics tackled The students will be guided through at least three practice problems for each of the seven topic Day 9: End of chapter exercises Complete exercises touching on every topic Worksheets Individual and group work The students will be guided through  practice problems The students will be handed questions to reinforce what they have learnt in each lesson (Westwood, 2008) Day 10: Chapter practices. Students are given a lesson to practice on their own and ask any questions related to the studied topics Worksheets, Handouts, Google docs, prezi, drop box and power point presentation Response by teachers to the various issues addressed by the students Students given assignment Marking and giving comments