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: PreAlgebra: 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 preprinted 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.  Miniwhite 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  Preprinted 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 preprinted notes, Miniwhite board, poster paper and scrap paper, hint sheets and calculator, Preprinted 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 