Activator 1 Anticipation Guide Find the next three terms of each sequence, then write the rule. 1) 2, 4, 6, 2) 10, 7, 4, Rule: Rule: 3) 30, 31, 34, 39, 46, 4) 4, 2, -2, -8, Rule: Rule: Activator 2 Brainstorm and Categorize Put the items below into three categories. Name each category. Then think of one more item to add to each category. Equator line on a road state border line on notebook paper period in a sentence piece of paper thumbtack on a map wall floor speck of dust Category 1: Category 2: Category 3:
Activator 3 Anticipation Guide Today we re learning about postulates, which are statements that are always true. Try to make predictions about what we ll learn today: 1) How many points do you think you need to determine a line? 2) Two lines intersect at a. 3) How many points do you think you need to determine a plane? 4) Two planes intersect in a.
Activator 4 SLO Pretest Distance is one of the most important concepts we ll study in Geometry this year. For each problem below, use what you know to solve the problem. Do not worry if you re not sure about a problem; this is just a pretest. 1) Find the distance around the outside of this rectangle. Distance: 2) Find the distance between the two points on the number line: Distance: 3) Find the value of x on each of the triangles below: a) b) x = x = c) d) x = x =
4) Find the value of x on each of the quadrilaterals below: a) b) x = x = 5) Find the distance around each of the figures below: a) b) Distance: Distance: 6) Find the value of x on each of the triangles below: a) b) x = x =
Activator 5 Think-Pair-Write Work with a partner to write down all the different ways of measuring. You can write down both units and tools. After your list is complete, highlight or underline all of the ways you ve written that measure distance. Activator 6 What is Already in my Head? Write down what you already know about the words below: CONGRUENT LINE SEGMENTS
Activator 7 - Wordsplash Use what you know to write a quick definition of each word. coordinate plane x-axis y-axis ordered pair graph Activator 8 Entrance Activity On your ipad, go to http://www.geomidpoint.com/. First enter the school s address (226 Highland Road, Atglen, PA 19310) and click add. Then enter YOUR home address and click add. The green M is the exact midpoint between your house and school. Write the address of the midpoint here:
Activator 9 What is Already in my Head? Write down anything that you already remember learning about angles (what they are, how to name them, pictures, types ) Activator 10 What is Already in my Head? Write down anything that you already remember learning about MEASURING angles (what to use, things to remember when measuring, what your answer looks like )
Activator 11 Anticipation Guide How might you find the measures of the missing angles below? Write at least one sentence about HOW you would find those measures. Activator 12 Brainstorming/Categorizing Do the angles below share a side, vertex, or both?
Activator 13 Brainstorming/Categorizing Find all the right angles in the maze below. How many of them are linear pairs? # of right angles: # of linear pairs: Activator 14 What is Already in my Head? Write what you already know about the word congruent, and what you think we will learn about congruent angles.
Activator 15 Think-Pair-Write Think about what you already know about perpendicular lines. Talk to someone sitting near you about what you already remember. Write down what you have already learned about perpendicular lines.
Activator 16 Connection to Algebra Use what you remember about algebra to find the SLOPE of the line below. SLOPE = What would you need to do to draw a line that is PARALLEL to this line? Activator 17 Connection to Algebra Find the SLOPE of the line below. SLOPE = Now draw a line that is PARALLEL to the given line, that passes through the given point.
Activator 18 What is Already in My Head? Give one examples of each term below. (Hint: Give a PAIR of angles for each term.) alternate interior consecutive interior alternate exterior Activator 19 Connections to Algebra Are the lines below parallel? Find the slope of each line. Then use a protractor to find the measure of each angle created by the lines and the y- axis.
Activator 20 Connections to Algebra Find the slope, y-intercept, and equation of each line below. Slope: y-intercept: Equation: Slope: y-intercept: Equation:
Activator 21 Word Splash Triangle Classification Write down anything you remember about the words below. ACUTE RIGHT (ANGLE) OBTUSE SCALENE ISOSCELES EQUILATERAL Activator 22 Anticipation Guide What do you notice about the angle measures of the triangles below? (Hint: Try adding them together for each triangle.)
Activator 23 Entrance Ticket Try to copy the triangle below using the information given and your ruler. 4 cm 5.9 cm 8.3 cm Activator 24 Entrance Ticket Try to copy the triangle below using the information given, your ruler, and a protractor. 4 cm 110 o 2.9 cm
Activator 25 Anticipation Guide Draw an acute isosceles triangle, a right isosceles triangle, and an obtuse isosceles triangle: What does isosceles mean? Activator 26 What is Already in My Head? What are the four ways we have already discussed to prove that two triangles are congruent?
Activator 27 Anticipation Guide Connect the two points below with a straight line. Then create a right triangle with the line as a hypotenuse. The first one is done for you.
Activator 28 Brainstorm & Categorize List and draw as many four-sided figures as you can think of! Activator 29 Anticipation Guide Draw two diagonals in the parallelogram below. What kind of angle do you have in the center? What do you think the center point does to the diagonals?
Activator 30 Entrance Ticket Find the missing values in the parallelograms below. Explain how you know. Activator 31 Anticipation Guide What do you think makes each of these shapes unique? Square Rectangle Rhombus
Activator 32 Brainstorm & Categorize The shapes below are all trapezoids. What do they have in common?
Activator 33 What is Already in My Head? Find the missing number.
Activator 34 Anticipation Guide How many times bigger?
Activator 35 Entrance Ticket Are these triangles similar? Write yes or no and complete the statement.
Activator 36 Anticipation Guide Hands-On Geometry (p. 388) Find the perimeter of each triangle: ABC = DEF = What is the ratio of the perimeters?
Activator 37 What is Already in My Head? When have you heard the prefixes listed below? The first one is done for you. tri angle quad penta oct dec Activator 38 Anticipation Guide How many diagonals can you draw in each shape below? One diagonal is drawn for you.
Activator 39 Anticipation Guide If the formula for the area of a rectangle is A = bh, what do you think is the formula for the area of a triangle? Activator 40 Anticipation Guide If the formula for the area of a triangle is A = ½ bh, what do you think is the formula for the area of a hexagon?
Activator 41 Measure the diameter of the circle using a ruler. Then measure the circumference using a piece of yarn and a ruler. Divide the circumference by the diameter for each circle.
Activator 42 Count the squares to determine the radius of the circle. Then count the squares inside the circle (estimate the parts of squares). Divide the area by the radius squared. Activator 43
Name a real-life example of A rectangular prism A pyramid A cylinder A cone Activator 44 Name a real-life example of A prism Another example of a prism A cylinder Activator 45
Name a time when one might need to know the volume of a prism. Name a time when one might need to know the volume of a cylinder. Activator 46 Name a real-life example of A pyramid A cone Another example of a cone
Activator 47 Name a time when one might need to know the volume of a pyramid. Name a time when one might need to know the volume of a cone. Activator 48 List 5 real-life examples of spheres: 1) 2) 3) 4) 5) Activator 49
Use Pythagorean Theorem to find the missing sides on the triangles below. Explain what you notice. Activator 50 Find the missing angle and explain how you know.