LESSON PLANS~ 2/18/2020- 2/21/2020
ALGEBRAIC EXPRESSIONS: 6.EE.1, 6.EE.2abc, 6.EE.3, 6.EE.4, 6.EE.6
Write and evaluate numerical expressions involving whole-number exponents.
Write, read, and evaluate expressions in which letters stand for numbers.
Write expressions that record operations with numbers and with letters standing for numbers. For example, express the calculation "Subtract y from 5" as 5 - y.
Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. For example, describe the expression 2 (8 + 7) as a product of two factors; view (8 + 7) as both a single entity and a sum of two terms.
Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). For example, use the formulas V = s3 and A = 6 s2 to find the volume and surface area of a cube with sides of length s = 1/2.
Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). For example, the expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for..
Reason about and solve one-variable equations and inequalities.
Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.
Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.
Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q and x are all nonnegative rational numbers.
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Represent and analyze quantitative relationships between dependent and independent variables.
Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
Students will be able to:
- Write and evaluate expressions involving exponents
- Use the order of operations to evaluate expressions involving exponents
- Write algebraic expressions for real-world situations
- Identify and describe parts of expressions
- Evaluate expressions and formulas
- Combine like terms
- Use properties of operations to generate equivalent algebraic expressions.
- Identify equivalent algebraic expressions
BELLWORK: CASE 2: non- calculator section:
Tuesday~ RATIOS # 12, 14, 17
Wednesday~ RATIOS # 18, 19
Thursday~ RATIOS # 23, 24
TUESDAY~ Go over quiz and clear up misconceptions. Students will continue to practice exponential form w/ squares and cubes, solve expressions containing exponents, PEMDAS (DOK 1, DOK2),
Begin identifying parts of algebraic expressions using correct vocabulary
19 + 5x + 6y +[endif]--> – 2y - [endif]-->: operators, terms: like/unlike, coefficient, variables, constant, base, exponent
Practice evaluating expressions when given values for variables.
Practice ~ combining like terms; color code like terms
WEDNESDAY/CHROMEBOOK HAMILTON~ Continue practice: Begin writing expressions
Card match put at tables to allow students hands-on practice.
THURSDAY/CHROMEBOOK FANNIN~ Partner work: worksheet: writing expressions
IXL SKILLS ASSIGNED FOR WEEK:
O3~ evaluate numerical expressions involving whole #s
O9~ evaluate numerical expressions involving fractions
Y1~ write variable expressions: 1 operations
Y2~ write variable expressions: 2 operations
Y3~ word problems
Y4~ evaluate variable expressions w/ whole numbers
EXTENSION/EXPLORATION: ADVANCED CLASSES:
Y6~ Evaluate variable expressions with decimals, fractions, and mixed numbers